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Finding the Third Proportional to 109,064,517 and 238,651,839.75

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Solution

The third proportional to 109,064,517 and 238,651,839.75 is: 522,211,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064,517 : 238,651,839.75 = 238,651,839.75 : x
  2. Step 2: Convert to fraction form
    109,064,517/238,651,839.75 = 238,651,839.75/x
  3. Step 3: Cross multiply
    109,064,517x = 238,651,839.75 × 238,651,839.75
  4. Step 4: Simplify right side
    109,064,517x = 56,954,700,616,059,680
  5. Step 5: Solve for x
    x = 56,954,700,616,059,680/109,064,517
  6. Step 6: Final answer
    x = 522,211,092.87

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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.