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Finding the Third Proportional to 47,985 and 99,043.50

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Solution

The third proportional to 47,985 and 99,043.50 is: 204,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985 : 99,043.50 = 99,043.50 : x
  2. Step 2: Convert to fraction form
    47,985/99,043.50 = 99,043.50/x
  3. Step 3: Cross multiply
    47,985x = 99,043.50 × 99,043.50
  4. Step 4: Simplify right side
    47,985x = 9,809,614,892.25
  5. Step 5: Solve for x
    x = 9,809,614,892.25/47,985
  6. Step 6: Final answer
    x = 204,430.86

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.