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Finding the Third Proportional to 81,073,386 and 125,641,449

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Solution

The third proportional to 81,073,386 and 125,641,449 is: 194,709,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,073,386 : 125,641,449 = 125,641,449 : x
  2. Step 2: Convert to fraction form
    81,073,386/125,641,449 = 125,641,449/x
  3. Step 3: Cross multiply
    81,073,386x = 125,641,449 × 125,641,449
  4. Step 4: Simplify right side
    81,073,386x = 15,785,773,706,819,600
  5. Step 5: Solve for x
    x = 15,785,773,706,819,600/81,073,386
  6. Step 6: Final answer
    x = 194,709,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.