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Finding the Third Proportional to 47,342 and 103,158.50

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Solution

The third proportional to 47,342 and 103,158.50 is: 224,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342 : 103,158.50 = 103,158.50 : x
  2. Step 2: Convert to fraction form
    47,342/103,158.50 = 103,158.50/x
  3. Step 3: Cross multiply
    47,342x = 103,158.50 × 103,158.50
  4. Step 4: Simplify right side
    47,342x = 10,641,676,122.25
  5. Step 5: Solve for x
    x = 10,641,676,122.25/47,342
  6. Step 6: Final answer
    x = 224,782.99

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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.