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Finding the Third Proportional to 127,792,161 and 279,764,523

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Solution

The third proportional to 127,792,161 and 279,764,523 is: 612,464,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,792,161 : 279,764,523 = 279,764,523 : x
  2. Step 2: Convert to fraction form
    127,792,161/279,764,523 = 279,764,523/x
  3. Step 3: Cross multiply
    127,792,161x = 279,764,523 × 279,764,523
  4. Step 4: Simplify right side
    127,792,161x = 78,268,188,329,417,536
  5. Step 5: Solve for x
    x = 78,268,188,329,417,536/127,792,161
  6. Step 6: Final answer
    x = 612,464,706.11

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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.