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Finding the Third Proportional to 107,472,955.50 and 161,040,669.19

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Solution

The third proportional to 107,472,955.50 and 161,040,669.19 is: 241,308,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472,955.50 : 161,040,669.19 = 161,040,669.19 : x
  2. Step 2: Convert to fraction form
    107,472,955.50/161,040,669.19 = 161,040,669.19/x
  3. Step 3: Cross multiply
    107,472,955.50x = 161,040,669.19 × 161,040,669.19
  4. Step 4: Simplify right side
    107,472,955.50x = 25,934,097,132,357,812
  5. Step 5: Solve for x
    x = 25,934,097,132,357,812/107,472,955.50
  6. Step 6: Final answer
    x = 241,308,122.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.