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Finding the Third Proportional to 98,481 and 143,415.75

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Solution

The third proportional to 98,481 and 143,415.75 is: 208,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,481 : 143,415.75 = 143,415.75 : x
  2. Step 2: Convert to fraction form
    98,481/143,415.75 = 143,415.75/x
  3. Step 3: Cross multiply
    98,481x = 143,415.75 × 143,415.75
  4. Step 4: Simplify right side
    98,481x = 20,568,077,348.06
  5. Step 5: Solve for x
    x = 20,568,077,348.06/98,481
  6. Step 6: Final answer
    x = 208,853.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.