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Finding the Third Proportional to 109,694,384 and 160,503,641

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Solution

The third proportional to 109,694,384 and 160,503,641 is: 234,847,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694,384 : 160,503,641 = 160,503,641 : x
  2. Step 2: Convert to fraction form
    109,694,384/160,503,641 = 160,503,641/x
  3. Step 3: Cross multiply
    109,694,384x = 160,503,641 × 160,503,641
  4. Step 4: Simplify right side
    109,694,384x = 25,761,418,774,256,880
  5. Step 5: Solve for x
    x = 25,761,418,774,256,880/109,694,384
  6. Step 6: Final answer
    x = 234,847,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.