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Finding the Third Proportional to 68,155,732.13 and 148,647,598.88

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Solution

The third proportional to 68,155,732.13 and 148,647,598.88 is: 324,200,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,732.13 : 148,647,598.88 = 148,647,598.88 : x
  2. Step 2: Convert to fraction form
    68,155,732.13/148,647,598.88 = 148,647,598.88/x
  3. Step 3: Cross multiply
    68,155,732.13x = 148,647,598.88 × 148,647,598.88
  4. Step 4: Simplify right side
    68,155,732.13x = 22,096,108,651,302,900
  5. Step 5: Solve for x
    x = 22,096,108,651,302,900/68,155,732.13
  6. Step 6: Final answer
    x = 324,200,297.79

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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.