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Finding the Third Proportional to 97,901.16 and 151,462.13

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Solution

The third proportional to 97,901.16 and 151,462.13 is: 234,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,901.16 : 151,462.13 = 151,462.13 : x
  2. Step 2: Convert to fraction form
    97,901.16/151,462.13 = 151,462.13/x
  3. Step 3: Cross multiply
    97,901.16x = 151,462.13 × 151,462.13
  4. Step 4: Simplify right side
    97,901.16x = 22,940,775,309.52
  5. Step 5: Solve for x
    x = 22,940,775,309.52/97,901.16
  6. Step 6: Final answer
    x = 234,325.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.