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Finding the Third Proportional to 98,991 and 141,043.50

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Solution

The third proportional to 98,991 and 141,043.50 is: 200,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,991 : 141,043.50 = 141,043.50 : x
  2. Step 2: Convert to fraction form
    98,991/141,043.50 = 141,043.50/x
  3. Step 3: Cross multiply
    98,991x = 141,043.50 × 141,043.50
  4. Step 4: Simplify right side
    98,991x = 19,893,268,892.25
  5. Step 5: Solve for x
    x = 19,893,268,892.25/98,991
  6. Step 6: Final answer
    x = 200,960.38

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.