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Finding the Third Proportional to 265,156,685.25 and 576,214,126.13

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Solution

The third proportional to 265,156,685.25 and 576,214,126.13 is: 1,252,175,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,156,685.25 : 576,214,126.13 = 576,214,126.13 : x
  2. Step 2: Convert to fraction form
    265,156,685.25/576,214,126.13 = 576,214,126.13/x
  3. Step 3: Cross multiply
    265,156,685.25x = 576,214,126.13 × 576,214,126.13
  4. Step 4: Simplify right side
    265,156,685.25x = 332,022,719,145,997,376
  5. Step 5: Solve for x
    x = 332,022,719,145,997,376/265,156,685.25
  6. Step 6: Final answer
    x = 1,252,175,553.61

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