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Finding the Third Proportional to 50,985 and 109,351.13

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Solution

The third proportional to 50,985 and 109,351.13 is: 234,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,985 : 109,351.13 = 109,351.13 : x
  2. Step 2: Convert to fraction form
    50,985/109,351.13 = 109,351.13/x
  3. Step 3: Cross multiply
    50,985x = 109,351.13 × 109,351.13
  4. Step 4: Simplify right side
    50,985x = 11,957,668,538.77
  5. Step 5: Solve for x
    x = 11,957,668,538.77/50,985
  6. Step 6: Final answer
    x = 234,533.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.