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Finding the Third Proportional to 118,938.38 and 184,447.13

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Solution

The third proportional to 118,938.38 and 184,447.13 is: 286,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,938.38 : 184,447.13 = 184,447.13 : x
  2. Step 2: Convert to fraction form
    118,938.38/184,447.13 = 184,447.13/x
  3. Step 3: Cross multiply
    118,938.38x = 184,447.13 × 184,447.13
  4. Step 4: Simplify right side
    118,938.38x = 34,020,741,920.77
  5. Step 5: Solve for x
    x = 34,020,741,920.77/118,938.38
  6. Step 6: Final answer
    x = 286,036.71

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Why These Related Problems?

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