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Finding the Third Proportional to 84,912,470 and 185,723,692

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Solution

The third proportional to 84,912,470 and 185,723,692 is: 406,221,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,470 : 185,723,692 = 185,723,692 : x
  2. Step 2: Convert to fraction form
    84,912,470/185,723,692 = 185,723,692/x
  3. Step 3: Cross multiply
    84,912,470x = 185,723,692 × 185,723,692
  4. Step 4: Simplify right side
    84,912,470x = 34,493,289,770,110,864
  5. Step 5: Solve for x
    x = 34,493,289,770,110,864/84,912,470
  6. Step 6: Final answer
    x = 406,221,721.85

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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.