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Finding the Third Proportional to 89,948.25 and 195,448.50

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Solution

The third proportional to 89,948.25 and 195,448.50 is: 424,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,948.25 : 195,448.50 = 195,448.50 : x
  2. Step 2: Convert to fraction form
    89,948.25/195,448.50 = 195,448.50/x
  3. Step 3: Cross multiply
    89,948.25x = 195,448.50 × 195,448.50
  4. Step 4: Simplify right side
    89,948.25x = 38,200,116,152.25
  5. Step 5: Solve for x
    x = 38,200,116,152.25/89,948.25
  6. Step 6: Final answer
    x = 424,689.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.