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Finding the Third Proportional to 55,206,373.50 and 83,583,272.25

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Solution

The third proportional to 55,206,373.50 and 83,583,272.25 is: 126,546,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206,373.50 : 83,583,272.25 = 83,583,272.25 : x
  2. Step 2: Convert to fraction form
    55,206,373.50/83,583,272.25 = 83,583,272.25/x
  3. Step 3: Cross multiply
    55,206,373.50x = 83,583,272.25 × 83,583,272.25
  4. Step 4: Simplify right side
    55,206,373.50x = 6,986,163,400,017,620
  5. Step 5: Solve for x
    x = 6,986,163,400,017,620/55,206,373.50
  6. Step 6: Final answer
    x = 126,546,319.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.