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Finding the Third Proportional to 84,134,745 and 125,865,790

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Solution

The third proportional to 84,134,745 and 125,865,790 is: 188,295,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134,745 : 125,865,790 = 125,865,790 : x
  2. Step 2: Convert to fraction form
    84,134,745/125,865,790 = 125,865,790/x
  3. Step 3: Cross multiply
    84,134,745x = 125,865,790 × 125,865,790
  4. Step 4: Simplify right side
    84,134,745x = 15,842,197,092,324,100
  5. Step 5: Solve for x
    x = 15,842,197,092,324,100/84,134,745
  6. Step 6: Final answer
    x = 188,295,538.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.