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Finding the Third Proportional to 47,700 and 103,600.50

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Solution

The third proportional to 47,700 and 103,600.50 is: 225,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700 : 103,600.50 = 103,600.50 : x
  2. Step 2: Convert to fraction form
    47,700/103,600.50 = 103,600.50/x
  3. Step 3: Cross multiply
    47,700x = 103,600.50 × 103,600.50
  4. Step 4: Simplify right side
    47,700x = 10,733,063,600.25
  5. Step 5: Solve for x
    x = 10,733,063,600.25/47,700
  6. Step 6: Final answer
    x = 225,011.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.