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Finding the Third Proportional to 138,422,860 and 298,731,812

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Solution

The third proportional to 138,422,860 and 298,731,812 is: 644,696,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422,860 : 298,731,812 = 298,731,812 : x
  2. Step 2: Convert to fraction form
    138,422,860/298,731,812 = 298,731,812/x
  3. Step 3: Cross multiply
    138,422,860x = 298,731,812 × 298,731,812
  4. Step 4: Simplify right side
    138,422,860x = 89,240,695,500,803,344
  5. Step 5: Solve for x
    x = 89,240,695,500,803,344/138,422,860
  6. Step 6: Final answer
    x = 644,696,226.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.