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Finding the Third Proportional to 80,965,889 and 176,307,655

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Solution

The third proportional to 80,965,889 and 176,307,655 is: 383,919,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965,889 : 176,307,655 = 176,307,655 : x
  2. Step 2: Convert to fraction form
    80,965,889/176,307,655 = 176,307,655/x
  3. Step 3: Cross multiply
    80,965,889x = 176,307,655 × 176,307,655
  4. Step 4: Simplify right side
    80,965,889x = 31,084,389,211,599,024
  5. Step 5: Solve for x
    x = 31,084,389,211,599,024/80,965,889
  6. Step 6: Final answer
    x = 383,919,569.04

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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.