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Finding the Third Proportional to 225,700,392.38 and 457,746,967.13

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Solution

The third proportional to 225,700,392.38 and 457,746,967.13 is: 928,364,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,700,392.38 : 457,746,967.13 = 457,746,967.13 : x
  2. Step 2: Convert to fraction form
    225,700,392.38/457,746,967.13 = 457,746,967.13/x
  3. Step 3: Cross multiply
    225,700,392.38x = 457,746,967.13 × 457,746,967.13
  4. Step 4: Simplify right side
    225,700,392.38x = 209,532,285,912,135,840
  5. Step 5: Solve for x
    x = 209,532,285,912,135,840/225,700,392.38
  6. Step 6: Final answer
    x = 928,364,739.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.