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Finding the Third Proportional to 99,306 and 234,227.25

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Solution

The third proportional to 99,306 and 234,227.25 is: 552,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,306 : 234,227.25 = 234,227.25 : x
  2. Step 2: Convert to fraction form
    99,306/234,227.25 = 234,227.25/x
  3. Step 3: Cross multiply
    99,306x = 234,227.25 × 234,227.25
  4. Step 4: Simplify right side
    99,306x = 54,862,404,642.56
  5. Step 5: Solve for x
    x = 54,862,404,642.56/99,306
  6. Step 6: Final answer
    x = 552,458.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.