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Finding the Third Proportional to 75,246,723 and 109,966,629

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Solution

The third proportional to 75,246,723 and 109,966,629 is: 160,706,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246,723 : 109,966,629 = 109,966,629 : x
  2. Step 2: Convert to fraction form
    75,246,723/109,966,629 = 109,966,629/x
  3. Step 3: Cross multiply
    75,246,723x = 109,966,629 × 109,966,629
  4. Step 4: Simplify right side
    75,246,723x = 12,092,659,493,623,640
  5. Step 5: Solve for x
    x = 12,092,659,493,623,640/75,246,723
  6. Step 6: Final answer
    x = 160,706,792.42

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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.