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Finding the Third Proportional to 41,030.25 and 88,338

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Solution

The third proportional to 41,030.25 and 88,338 is: 190,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,030.25 : 88,338 = 88,338 : x
  2. Step 2: Convert to fraction form
    41,030.25/88,338 = 88,338/x
  3. Step 3: Cross multiply
    41,030.25x = 88,338 × 88,338
  4. Step 4: Simplify right side
    41,030.25x = 7,803,602,244
  5. Step 5: Solve for x
    x = 7,803,602,244/41,030.25
  6. Step 6: Final answer
    x = 190,191.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.