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Finding the Third Proportional to 95,851.50 and 201,618.50

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Solution

The third proportional to 95,851.50 and 201,618.50 is: 424,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,851.50 : 201,618.50 = 201,618.50 : x
  2. Step 2: Convert to fraction form
    95,851.50/201,618.50 = 201,618.50/x
  3. Step 3: Cross multiply
    95,851.50x = 201,618.50 × 201,618.50
  4. Step 4: Simplify right side
    95,851.50x = 40,650,019,542.25
  5. Step 5: Solve for x
    x = 40,650,019,542.25/95,851.50
  6. Step 6: Final answer
    x = 424,093.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.