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Finding the Third Proportional to 72,894,560 and 160,647,353

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Solution

The third proportional to 72,894,560 and 160,647,353 is: 354,039,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894,560 : 160,647,353 = 160,647,353 : x
  2. Step 2: Convert to fraction form
    72,894,560/160,647,353 = 160,647,353/x
  3. Step 3: Cross multiply
    72,894,560x = 160,647,353 × 160,647,353
  4. Step 4: Simplify right side
    72,894,560x = 25,807,572,025,906,608
  5. Step 5: Solve for x
    x = 25,807,572,025,906,608/72,894,560
  6. Step 6: Final answer
    x = 354,039,753.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.