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Finding the Third Proportional to 80,690,197,246 and 176,580,658,902

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Solution

The third proportional to 80,690,197,246 and 176,580,658,902 is: 386,425,243,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690,197,246 : 176,580,658,902 = 176,580,658,902 : x
  2. Step 2: Convert to fraction form
    80,690,197,246/176,580,658,902 = 176,580,658,902/x
  3. Step 3: Cross multiply
    80,690,197,246x = 176,580,658,902 × 176,580,658,902
  4. Step 4: Simplify right side
    80,690,197,246x = 31,180,729,098,264,473,763,840
  5. Step 5: Solve for x
    x = 31,180,729,098,264,473,763,840/80,690,197,246
  6. Step 6: Final answer
    x = 386,425,243,244.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.