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Finding the Third Proportional to 97,132,353 and 149,450,105

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Solution

The third proportional to 97,132,353 and 149,450,105 is: 229,947,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132,353 : 149,450,105 = 149,450,105 : x
  2. Step 2: Convert to fraction form
    97,132,353/149,450,105 = 149,450,105/x
  3. Step 3: Cross multiply
    97,132,353x = 149,450,105 × 149,450,105
  4. Step 4: Simplify right side
    97,132,353x = 22,335,333,884,511,024
  5. Step 5: Solve for x
    x = 22,335,333,884,511,024/97,132,353
  6. Step 6: Final answer
    x = 229,947,419.11

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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.