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Finding the Third Proportional to 42,763.50 and 98,986.50

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Solution

The third proportional to 42,763.50 and 98,986.50 is: 229,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,763.50 : 98,986.50 = 98,986.50 : x
  2. Step 2: Convert to fraction form
    42,763.50/98,986.50 = 98,986.50/x
  3. Step 3: Cross multiply
    42,763.50x = 98,986.50 × 98,986.50
  4. Step 4: Simplify right side
    42,763.50x = 9,798,327,182.25
  5. Step 5: Solve for x
    x = 9,798,327,182.25/42,763.50
  6. Step 6: Final answer
    x = 229,128.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.