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Finding the Third Proportional to 99,384 and 153,828

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Solution

The third proportional to 99,384 and 153,828 is: 238,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,384 : 153,828 = 153,828 : x
  2. Step 2: Convert to fraction form
    99,384/153,828 = 153,828/x
  3. Step 3: Cross multiply
    99,384x = 153,828 × 153,828
  4. Step 4: Simplify right side
    99,384x = 23,663,053,584
  5. Step 5: Solve for x
    x = 23,663,053,584/99,384
  6. Step 6: Final answer
    x = 238,097.21

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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.