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Finding the Third Proportional to 99,924,480 and 231,310,764

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Solution

The third proportional to 99,924,480 and 231,310,764 is: 535,451,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924,480 : 231,310,764 = 231,310,764 : x
  2. Step 2: Convert to fraction form
    99,924,480/231,310,764 = 231,310,764/x
  3. Step 3: Cross multiply
    99,924,480x = 231,310,764 × 231,310,764
  4. Step 4: Simplify right side
    99,924,480x = 53,504,669,542,263,696
  5. Step 5: Solve for x
    x = 53,504,669,542,263,696/99,924,480
  6. Step 6: Final answer
    x = 535,451,068.07

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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.