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Finding the Third Proportional to 160,175,834,226 and 218,132,146,116

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Solution

The third proportional to 160,175,834,226 and 218,132,146,116 is: 297,058,750,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,175,834,226 : 218,132,146,116 = 218,132,146,116 : x
  2. Step 2: Convert to fraction form
    160,175,834,226/218,132,146,116 = 218,132,146,116/x
  3. Step 3: Cross multiply
    160,175,834,226x = 218,132,146,116 × 218,132,146,116
  4. Step 4: Simplify right side
    160,175,834,226x = 47,581,633,169,171,972,882,432
  5. Step 5: Solve for x
    x = 47,581,633,169,171,972,882,432/160,175,834,226
  6. Step 6: Final answer
    x = 297,058,750,460.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.