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Finding the Third Proportional to 81,799,070 and 175,087,180

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Solution

The third proportional to 81,799,070 and 175,087,180 is: 374,766,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,799,070 : 175,087,180 = 175,087,180 : x
  2. Step 2: Convert to fraction form
    81,799,070/175,087,180 = 175,087,180/x
  3. Step 3: Cross multiply
    81,799,070x = 175,087,180 × 175,087,180
  4. Step 4: Simplify right side
    81,799,070x = 30,655,520,600,352,400
  5. Step 5: Solve for x
    x = 30,655,520,600,352,400/81,799,070
  6. Step 6: Final answer
    x = 374,766,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.