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Finding the Third Proportional to 72,560,098 and 157,874,212

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Solution

The third proportional to 72,560,098 and 157,874,212 is: 343,498,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,560,098 : 157,874,212 = 157,874,212 : x
  2. Step 2: Convert to fraction form
    72,560,098/157,874,212 = 157,874,212/x
  3. Step 3: Cross multiply
    72,560,098x = 157,874,212 × 157,874,212
  4. Step 4: Simplify right side
    72,560,098x = 24,924,266,814,620,944
  5. Step 5: Solve for x
    x = 24,924,266,814,620,944/72,560,098
  6. Step 6: Final answer
    x = 343,498,251.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.