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Finding the Third Proportional to 65,591,786.25 and 143,539,629.75

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Solution

The third proportional to 65,591,786.25 and 143,539,629.75 is: 314,118,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591,786.25 : 143,539,629.75 = 143,539,629.75 : x
  2. Step 2: Convert to fraction form
    65,591,786.25/143,539,629.75 = 143,539,629.75/x
  3. Step 3: Cross multiply
    65,591,786.25x = 143,539,629.75 × 143,539,629.75
  4. Step 4: Simplify right side
    65,591,786.25x = 20,603,625,308,767,084
  5. Step 5: Solve for x
    x = 20,603,625,308,767,084/65,591,786.25
  6. Step 6: Final answer
    x = 314,118,984.81

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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.