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Finding the Third Proportional to 247,233,778.88 and 514,813,866.75

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Solution

The third proportional to 247,233,778.88 and 514,813,866.75 is: 1,071,994,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233,778.88 : 514,813,866.75 = 514,813,866.75 : x
  2. Step 2: Convert to fraction form
    247,233,778.88/514,813,866.75 = 514,813,866.75/x
  3. Step 3: Cross multiply
    247,233,778.88x = 514,813,866.75 × 514,813,866.75
  4. Step 4: Simplify right side
    247,233,778.88x = 265,033,317,398,086,752
  5. Step 5: Solve for x
    x = 265,033,317,398,086,752/247,233,778.88
  6. Step 6: Final answer
    x = 1,071,994,767.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.