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Finding the Third Proportional to 68,155,927 and 146,704,482

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Solution

The third proportional to 68,155,927 and 146,704,482 is: 315,778,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,927 : 146,704,482 = 146,704,482 : x
  2. Step 2: Convert to fraction form
    68,155,927/146,704,482 = 146,704,482/x
  3. Step 3: Cross multiply
    68,155,927x = 146,704,482 × 146,704,482
  4. Step 4: Simplify right side
    68,155,927x = 21,522,205,038,888,324
  5. Step 5: Solve for x
    x = 21,522,205,038,888,324/68,155,927
  6. Step 6: Final answer
    x = 315,778,920.28

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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.