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Finding the Third Proportional to 88,945.13 and 194,306.25

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Solution

The third proportional to 88,945.13 and 194,306.25 is: 424,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,945.13 : 194,306.25 = 194,306.25 : x
  2. Step 2: Convert to fraction form
    88,945.13/194,306.25 = 194,306.25/x
  3. Step 3: Cross multiply
    88,945.13x = 194,306.25 × 194,306.25
  4. Step 4: Simplify right side
    88,945.13x = 37,754,918,789.06
  5. Step 5: Solve for x
    x = 37,754,918,789.06/88,945.13
  6. Step 6: Final answer
    x = 424,474.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.