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Finding the Third Proportional to 73,853,856 and 160,711,857

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Solution

The third proportional to 73,853,856 and 160,711,857 is: 349,721,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853,856 : 160,711,857 = 160,711,857 : x
  2. Step 2: Convert to fraction form
    73,853,856/160,711,857 = 160,711,857/x
  3. Step 3: Cross multiply
    73,853,856x = 160,711,857 × 160,711,857
  4. Step 4: Simplify right side
    73,853,856x = 25,828,300,980,388,448
  5. Step 5: Solve for x
    x = 25,828,300,980,388,448/73,853,856
  6. Step 6: Final answer
    x = 349,721,766.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.