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Finding the Third Proportional to 130,871,414 and 283,553,458

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Solution

The third proportional to 130,871,414 and 283,553,458 is: 614,363,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871,414 : 283,553,458 = 283,553,458 : x
  2. Step 2: Convert to fraction form
    130,871,414/283,553,458 = 283,553,458/x
  3. Step 3: Cross multiply
    130,871,414x = 283,553,458 × 283,553,458
  4. Step 4: Simplify right side
    130,871,414x = 80,402,563,543,757,760
  5. Step 5: Solve for x
    x = 80,402,563,543,757,760/130,871,414
  6. Step 6: Final answer
    x = 614,363,068.96

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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.