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Finding the Third Proportional to 80,773,996 and 125,309,514

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Solution

The third proportional to 80,773,996 and 125,309,514 is: 194,400,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,773,996 : 125,309,514 = 125,309,514 : x
  2. Step 2: Convert to fraction form
    80,773,996/125,309,514 = 125,309,514/x
  3. Step 3: Cross multiply
    80,773,996x = 125,309,514 × 125,309,514
  4. Step 4: Simplify right side
    80,773,996x = 15,702,474,298,916,196
  5. Step 5: Solve for x
    x = 15,702,474,298,916,196/80,773,996
  6. Step 6: Final answer
    x = 194,400,117.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.