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Finding the Third Proportional to 250,934,382 and 543,557,358

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Solution

The third proportional to 250,934,382 and 543,557,358 is: 1,177,417,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,934,382 : 543,557,358 = 543,557,358 : x
  2. Step 2: Convert to fraction form
    250,934,382/543,557,358 = 543,557,358/x
  3. Step 3: Cross multiply
    250,934,382x = 543,557,358 × 543,557,358
  4. Step 4: Simplify right side
    250,934,382x = 295,454,601,435,940,160
  5. Step 5: Solve for x
    x = 295,454,601,435,940,160/250,934,382
  6. Step 6: Final answer
    x = 1,177,417,773.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.