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Finding the Third Proportional to 116,902.13 and 181,368

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Solution

The third proportional to 116,902.13 and 181,368 is: 281,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,902.13 : 181,368 = 181,368 : x
  2. Step 2: Convert to fraction form
    116,902.13/181,368 = 181,368/x
  3. Step 3: Cross multiply
    116,902.13x = 181,368 × 181,368
  4. Step 4: Simplify right side
    116,902.13x = 32,894,351,424
  5. Step 5: Solve for x
    x = 32,894,351,424/116,902.13
  6. Step 6: Final answer
    x = 281,383.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.