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Finding the Third Proportional to 99,711 and 234,616.50

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Solution

The third proportional to 99,711 and 234,616.50 is: 552,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 234,616.50 = 234,616.50 : x
  2. Step 2: Convert to fraction form
    99,711/234,616.50 = 234,616.50/x
  3. Step 3: Cross multiply
    99,711x = 234,616.50 × 234,616.50
  4. Step 4: Simplify right side
    99,711x = 55,044,902,072.25
  5. Step 5: Solve for x
    x = 55,044,902,072.25/99,711
  6. Step 6: Final answer
    x = 552,044.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.