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Finding the Third Proportional to 140,307.19 and 213,963.19

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Solution

The third proportional to 140,307.19 and 213,963.19 is: 326,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,307.19 : 213,963.19 = 213,963.19 : x
  2. Step 2: Convert to fraction form
    140,307.19/213,963.19 = 213,963.19/x
  3. Step 3: Cross multiply
    140,307.19x = 213,963.19 × 213,963.19
  4. Step 4: Simplify right side
    140,307.19x = 45,780,245,605.16
  5. Step 5: Solve for x
    x = 45,780,245,605.16/140,307.19
  6. Step 6: Final answer
    x = 326,285.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.