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Finding the Third Proportional to 97,132,399 and 149,450,190

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Solution

The third proportional to 97,132,399 and 149,450,190 is: 229,947,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132,399 : 149,450,190 = 149,450,190 : x
  2. Step 2: Convert to fraction form
    97,132,399/149,450,190 = 149,450,190/x
  3. Step 3: Cross multiply
    97,132,399x = 149,450,190 × 149,450,190
  4. Step 4: Simplify right side
    97,132,399x = 22,335,359,291,036,100
  5. Step 5: Solve for x
    x = 22,335,359,291,036,100/97,132,399
  6. Step 6: Final answer
    x = 229,947,571.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.