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Finding the Third Proportional to 99,924,486.75 and 231,310,780.88

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Solution

The third proportional to 99,924,486.75 and 231,310,780.88 is: 535,451,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924,486.75 : 231,310,780.88 = 231,310,780.88 : x
  2. Step 2: Convert to fraction form
    99,924,486.75/231,310,780.88 = 231,310,780.88/x
  3. Step 3: Cross multiply
    99,924,486.75x = 231,310,780.88 × 231,310,780.88
  4. Step 4: Simplify right side
    99,924,486.75x = 53,504,677,349,002,264
  5. Step 5: Solve for x
    x = 53,504,677,349,002,264/99,924,486.75
  6. Step 6: Final answer
    x = 535,451,110.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.