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Finding the Third Proportional to 89,754,484 and 196,593,812

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Solution

The third proportional to 89,754,484 and 196,593,812 is: 430,609,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,754,484 : 196,593,812 = 196,593,812 : x
  2. Step 2: Convert to fraction form
    89,754,484/196,593,812 = 196,593,812/x
  3. Step 3: Cross multiply
    89,754,484x = 196,593,812 × 196,593,812
  4. Step 4: Simplify right side
    89,754,484x = 38,649,126,916,691,344
  5. Step 5: Solve for x
    x = 38,649,126,916,691,344/89,754,484
  6. Step 6: Final answer
    x = 430,609,426.90

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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.