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Finding the Third Proportional to 68,132,664 and 149,454,919.13

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Solution

The third proportional to 68,132,664 and 149,454,919.13 is: 327,842,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,132,664 : 149,454,919.13 = 149,454,919.13 : x
  2. Step 2: Convert to fraction form
    68,132,664/149,454,919.13 = 149,454,919.13/x
  3. Step 3: Cross multiply
    68,132,664x = 149,454,919.13 × 149,454,919.13
  4. Step 4: Simplify right side
    68,132,664x = 22,336,772,850,660,292
  5. Step 5: Solve for x
    x = 22,336,772,850,660,292/68,132,664
  6. Step 6: Final answer
    x = 327,842,352.54

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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.