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Finding the Third Proportional to 80,965,884 and 176,307,645

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Solution

The third proportional to 80,965,884 and 176,307,645 is: 383,919,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965,884 : 176,307,645 = 176,307,645 : x
  2. Step 2: Convert to fraction form
    80,965,884/176,307,645 = 176,307,645/x
  3. Step 3: Cross multiply
    80,965,884x = 176,307,645 × 176,307,645
  4. Step 4: Simplify right side
    80,965,884x = 31,084,385,685,446,024
  5. Step 5: Solve for x
    x = 31,084,385,685,446,024/80,965,884
  6. Step 6: Final answer
    x = 383,919,549.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.