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Finding the Third Proportional to 58,180,704.75 and 86,766,527.25

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Solution

The third proportional to 58,180,704.75 and 86,766,527.25 is: 129,397,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,180,704.75 : 86,766,527.25 = 86,766,527.25 : x
  2. Step 2: Convert to fraction form
    58,180,704.75/86,766,527.25 = 86,766,527.25/x
  3. Step 3: Cross multiply
    58,180,704.75x = 86,766,527.25 × 86,766,527.25
  4. Step 4: Simplify right side
    58,180,704.75x = 7,528,430,251,024,993
  5. Step 5: Solve for x
    x = 7,528,430,251,024,993/58,180,704.75
  6. Step 6: Final answer
    x = 129,397,371.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.