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Finding the Third Proportional to 143,899.88 and 201,281.63

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Solution

The third proportional to 143,899.88 and 201,281.63 is: 281,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,899.88 : 201,281.63 = 201,281.63 : x
  2. Step 2: Convert to fraction form
    143,899.88/201,281.63 = 201,281.63/x
  3. Step 3: Cross multiply
    143,899.88x = 201,281.63 × 201,281.63
  4. Step 4: Simplify right side
    143,899.88x = 40,514,292,562.64
  5. Step 5: Solve for x
    x = 40,514,292,562.64/143,899.88
  6. Step 6: Final answer
    x = 281,545.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.