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Finding the Third Proportional to 50,640.19 and 117,237.38

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Solution

The third proportional to 50,640.19 and 117,237.38 is: 271,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.19 : 117,237.38 = 117,237.38 : x
  2. Step 2: Convert to fraction form
    50,640.19/117,237.38 = 117,237.38/x
  3. Step 3: Cross multiply
    50,640.19x = 117,237.38 × 117,237.38
  4. Step 4: Simplify right side
    50,640.19x = 13,744,602,096.89
  5. Step 5: Solve for x
    x = 13,744,602,096.89/50,640.19
  6. Step 6: Final answer
    x = 271,416.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.