Home / 300,178,937,240.42-457,301,847,025.14

Finding the Third Proportional to 300,178,937,240.42 and 457,301,847,025.14

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Solution

The third proportional to 300,178,937,240.42 and 457,301,847,025.14 is: 696,667,731,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,178,937,240.42 : 457,301,847,025.14 = 457,301,847,025.14 : x
  2. Step 2: Convert to fraction form
    300,178,937,240.42/457,301,847,025.14 = 457,301,847,025.14/x
  3. Step 3: Cross multiply
    300,178,937,240.42x = 457,301,847,025.14 × 457,301,847,025.14
  4. Step 4: Simplify right side
    300,178,937,240.42x = 209,124,979,292,604,542,746,624
  5. Step 5: Solve for x
    x = 209,124,979,292,604,542,746,624/300,178,937,240.42
  6. Step 6: Final answer
    x = 696,667,731,637.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.