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Finding the Third Proportional to 80,690,197,282 and 176,580,658,970

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Solution

The third proportional to 80,690,197,282 and 176,580,658,970 is: 386,425,243,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690,197,282 : 176,580,658,970 = 176,580,658,970 : x
  2. Step 2: Convert to fraction form
    80,690,197,282/176,580,658,970 = 176,580,658,970/x
  3. Step 3: Cross multiply
    80,690,197,282x = 176,580,658,970 × 176,580,658,970
  4. Step 4: Simplify right side
    80,690,197,282x = 31,180,729,122,279,439,466,496
  5. Step 5: Solve for x
    x = 31,180,729,122,279,439,466,496/80,690,197,282
  6. Step 6: Final answer
    x = 386,425,243,370.12

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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.