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Finding the Third Proportional to 47,314.50 and 99,961.50

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Solution

The third proportional to 47,314.50 and 99,961.50 is: 211,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.50 : 99,961.50 = 99,961.50 : x
  2. Step 2: Convert to fraction form
    47,314.50/99,961.50 = 99,961.50/x
  3. Step 3: Cross multiply
    47,314.50x = 99,961.50 × 99,961.50
  4. Step 4: Simplify right side
    47,314.50x = 9,992,301,482.25
  5. Step 5: Solve for x
    x = 9,992,301,482.25/47,314.50
  6. Step 6: Final answer
    x = 211,188.99

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.