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Finding the Third Proportional to 89,031,606 and 193,291,092

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Solution

The third proportional to 89,031,606 and 193,291,092 is: 419,642,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031,606 : 193,291,092 = 193,291,092 : x
  2. Step 2: Convert to fraction form
    89,031,606/193,291,092 = 193,291,092/x
  3. Step 3: Cross multiply
    89,031,606x = 193,291,092 × 193,291,092
  4. Step 4: Simplify right side
    89,031,606x = 37,361,446,246,552,464
  5. Step 5: Solve for x
    x = 37,361,446,246,552,464/89,031,606
  6. Step 6: Final answer
    x = 419,642,505.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.