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Finding the Third Proportional to 65,591,781.75 and 143,539,620.75

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Solution

The third proportional to 65,591,781.75 and 143,539,620.75 is: 314,118,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591,781.75 : 143,539,620.75 = 143,539,620.75 : x
  2. Step 2: Convert to fraction form
    65,591,781.75/143,539,620.75 = 143,539,620.75/x
  3. Step 3: Cross multiply
    65,591,781.75x = 143,539,620.75 × 143,539,620.75
  4. Step 4: Simplify right side
    65,591,781.75x = 20,603,622,725,053,832
  5. Step 5: Solve for x
    x = 20,603,622,725,053,832/65,591,781.75
  6. Step 6: Final answer
    x = 314,118,966.97

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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.