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Finding the Third Proportional to 160,175,834,140 and 218,132,145,986

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Solution

The third proportional to 160,175,834,140 and 218,132,145,986 is: 297,058,750,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,175,834,140 : 218,132,145,986 = 218,132,145,986 : x
  2. Step 2: Convert to fraction form
    160,175,834,140/218,132,145,986 = 218,132,145,986/x
  3. Step 3: Cross multiply
    160,175,834,140x = 218,132,145,986 × 218,132,145,986
  4. Step 4: Simplify right side
    160,175,834,140x = 47,581,633,112,457,617,604,608
  5. Step 5: Solve for x
    x = 47,581,633,112,457,617,604,608/160,175,834,140
  6. Step 6: Final answer
    x = 297,058,750,266.09

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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.