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Finding the Third Proportional to 160,175,834,142 and 218,132,145,988

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Solution

The third proportional to 160,175,834,142 and 218,132,145,988 is: 297,058,750,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,175,834,142 : 218,132,145,988 = 218,132,145,988 : x
  2. Step 2: Convert to fraction form
    160,175,834,142/218,132,145,988 = 218,132,145,988/x
  3. Step 3: Cross multiply
    160,175,834,142x = 218,132,145,988 × 218,132,145,988
  4. Step 4: Simplify right side
    160,175,834,142x = 47,581,633,113,330,141,888,512
  5. Step 5: Solve for x
    x = 47,581,633,113,330,141,888,512/160,175,834,142
  6. Step 6: Final answer
    x = 297,058,750,267.83

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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.