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Finding the Third Proportional to 45,141.38 and 96,114.56

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Solution

The third proportional to 45,141.38 and 96,114.56 is: 204,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141.38 : 96,114.56 = 96,114.56 : x
  2. Step 2: Convert to fraction form
    45,141.38/96,114.56 = 96,114.56/x
  3. Step 3: Cross multiply
    45,141.38x = 96,114.56 × 96,114.56
  4. Step 4: Simplify right side
    45,141.38x = 9,238,009,124.57
  5. Step 5: Solve for x
    x = 9,238,009,124.57/45,141.38
  6. Step 6: Final answer
    x = 204,646.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.