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Finding the Third Proportional to 84,912,468 and 185,723,688

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Solution

The third proportional to 84,912,468 and 185,723,688 is: 406,221,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,468 : 185,723,688 = 185,723,688 : x
  2. Step 2: Convert to fraction form
    84,912,468/185,723,688 = 185,723,688/x
  3. Step 3: Cross multiply
    84,912,468x = 185,723,688 × 185,723,688
  4. Step 4: Simplify right side
    84,912,468x = 34,493,288,284,321,344
  5. Step 5: Solve for x
    x = 34,493,288,284,321,344/84,912,468
  6. Step 6: Final answer
    x = 406,221,713.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.