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Finding the Third Proportional to 81,190,414 and 125,909,817

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Solution

The third proportional to 81,190,414 and 125,909,817 is: 195,260,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,190,414 : 125,909,817 = 125,909,817 : x
  2. Step 2: Convert to fraction form
    81,190,414/125,909,817 = 125,909,817/x
  3. Step 3: Cross multiply
    81,190,414x = 125,909,817 × 125,909,817
  4. Step 4: Simplify right side
    81,190,414x = 15,853,282,016,973,488
  5. Step 5: Solve for x
    x = 15,853,282,016,973,488/81,190,414
  6. Step 6: Final answer
    x = 195,260,514.58

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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.