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Finding the Third Proportional to 225,106,421.63 and 487,783,908.56

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Solution

The third proportional to 225,106,421.63 and 487,783,908.56 is: 1,056,980,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,106,421.63 : 487,783,908.56 = 487,783,908.56 : x
  2. Step 2: Convert to fraction form
    225,106,421.63/487,783,908.56 = 487,783,908.56/x
  3. Step 3: Cross multiply
    225,106,421.63x = 487,783,908.56 × 487,783,908.56
  4. Step 4: Simplify right side
    225,106,421.63x = 237,933,141,452,509,376
  5. Step 5: Solve for x
    x = 237,933,141,452,509,376/225,106,421.63
  6. Step 6: Final answer
    x = 1,056,980,692.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.