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Finding the Third Proportional to 130,061.91 and 283,759.22

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Solution

The third proportional to 130,061.91 and 283,759.22 is: 619,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,061.91 : 283,759.22 = 283,759.22 : x
  2. Step 2: Convert to fraction form
    130,061.91/283,759.22 = 283,759.22/x
  3. Step 3: Cross multiply
    130,061.91x = 283,759.22 × 283,759.22
  4. Step 4: Simplify right side
    130,061.91x = 80,519,294,225.61
  5. Step 5: Solve for x
    x = 80,519,294,225.61/130,061.91
  6. Step 6: Final answer
    x = 619,084.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.