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Finding the Third Proportional to 97,132,347 and 149,450,096

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Solution

The third proportional to 97,132,347 and 149,450,096 is: 229,947,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132,347 : 149,450,096 = 149,450,096 : x
  2. Step 2: Convert to fraction form
    97,132,347/149,450,096 = 149,450,096/x
  3. Step 3: Cross multiply
    97,132,347x = 149,450,096 × 149,450,096
  4. Step 4: Simplify right side
    97,132,347x = 22,335,331,194,409,216
  5. Step 5: Solve for x
    x = 22,335,331,194,409,216/97,132,347
  6. Step 6: Final answer
    x = 229,947,405.62

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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.