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Finding the Third Proportional to 132,936.19 and 291,711.38

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Solution

The third proportional to 132,936.19 and 291,711.38 is: 640,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,936.19 : 291,711.38 = 291,711.38 : x
  2. Step 2: Convert to fraction form
    132,936.19/291,711.38 = 291,711.38/x
  3. Step 3: Cross multiply
    132,936.19x = 291,711.38 × 291,711.38
  4. Step 4: Simplify right side
    132,936.19x = 85,095,526,304.39
  5. Step 5: Solve for x
    x = 85,095,526,304.39/132,936.19
  6. Step 6: Final answer
    x = 640,123.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.