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Finding the Third Proportional to 91,950.19 and 140,599.13

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Solution

The third proportional to 91,950.19 and 140,599.13 is: 214,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,950.19 : 140,599.13 = 140,599.13 : x
  2. Step 2: Convert to fraction form
    91,950.19/140,599.13 = 140,599.13/x
  3. Step 3: Cross multiply
    91,950.19x = 140,599.13 × 140,599.13
  4. Step 4: Simplify right side
    91,950.19x = 19,768,113,950.77
  5. Step 5: Solve for x
    x = 19,768,113,950.77/91,950.19
  6. Step 6: Final answer
    x = 214,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.