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Finding the Third Proportional to 68,155,929 and 146,704,486

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Solution

The third proportional to 68,155,929 and 146,704,486 is: 315,778,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,929 : 146,704,486 = 146,704,486 : x
  2. Step 2: Convert to fraction form
    68,155,929/146,704,486 = 146,704,486/x
  3. Step 3: Cross multiply
    68,155,929x = 146,704,486 × 146,704,486
  4. Step 4: Simplify right side
    68,155,929x = 21,522,206,212,524,196
  5. Step 5: Solve for x
    x = 21,522,206,212,524,196/68,155,929
  6. Step 6: Final answer
    x = 315,778,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.