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Finding the Third Proportional to 89,570.25 and 195,754.50

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Solution

The third proportional to 89,570.25 and 195,754.50 is: 427,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,570.25 : 195,754.50 = 195,754.50 : x
  2. Step 2: Convert to fraction form
    89,570.25/195,754.50 = 195,754.50/x
  3. Step 3: Cross multiply
    89,570.25x = 195,754.50 × 195,754.50
  4. Step 4: Simplify right side
    89,570.25x = 38,319,824,270.25
  5. Step 5: Solve for x
    x = 38,319,824,270.25/89,570.25
  6. Step 6: Final answer
    x = 427,818.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.