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Finding the Third Proportional to 47,719 and 107,810.50

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Solution

The third proportional to 47,719 and 107,810.50 is: 243,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,719 : 107,810.50 = 107,810.50 : x
  2. Step 2: Convert to fraction form
    47,719/107,810.50 = 107,810.50/x
  3. Step 3: Cross multiply
    47,719x = 107,810.50 × 107,810.50
  4. Step 4: Simplify right side
    47,719x = 11,623,103,910.25
  5. Step 5: Solve for x
    x = 11,623,103,910.25/47,719
  6. Step 6: Final answer
    x = 243,573.92

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.