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Finding the Third Proportional to 97,852.27 and 151,513.13

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Solution

The third proportional to 97,852.27 and 151,513.13 is: 234,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.27 : 151,513.13 = 151,513.13 : x
  2. Step 2: Convert to fraction form
    97,852.27/151,513.13 = 151,513.13/x
  3. Step 3: Cross multiply
    97,852.27x = 151,513.13 × 151,513.13
  4. Step 4: Simplify right side
    97,852.27x = 22,956,227,047.27
  5. Step 5: Solve for x
    x = 22,956,227,047.27/97,852.27
  6. Step 6: Final answer
    x = 234,600.87

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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.