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Finding the Third Proportional to 155,116.69 and 213,605.44

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Solution

The third proportional to 155,116.69 and 213,605.44 is: 294,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,116.69 : 213,605.44 = 213,605.44 : x
  2. Step 2: Convert to fraction form
    155,116.69/213,605.44 = 213,605.44/x
  3. Step 3: Cross multiply
    155,116.69x = 213,605.44 × 213,605.44
  4. Step 4: Simplify right side
    155,116.69x = 45,627,282,929.57
  5. Step 5: Solve for x
    x = 45,627,282,929.57/155,116.69
  6. Step 6: Final answer
    x = 294,148.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.