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Finding the Third Proportional to 80,690,197,283 and 176,580,658,972

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Solution

The third proportional to 80,690,197,283 and 176,580,658,972 is: 386,425,243,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690,197,283 : 176,580,658,972 = 176,580,658,972 : x
  2. Step 2: Convert to fraction form
    80,690,197,283/176,580,658,972 = 176,580,658,972/x
  3. Step 3: Cross multiply
    80,690,197,283x = 176,580,658,972 × 176,580,658,972
  4. Step 4: Simplify right side
    80,690,197,283x = 31,180,729,122,985,764,454,400
  5. Step 5: Solve for x
    x = 31,180,729,122,985,764,454,400/80,690,197,283
  6. Step 6: Final answer
    x = 386,425,243,374.08

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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.