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Finding the Third Proportional to 50,432.63 and 109,737

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Solution

The third proportional to 50,432.63 and 109,737 is: 238,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432.63 : 109,737 = 109,737 : x
  2. Step 2: Convert to fraction form
    50,432.63/109,737 = 109,737/x
  3. Step 3: Cross multiply
    50,432.63x = 109,737 × 109,737
  4. Step 4: Simplify right side
    50,432.63x = 12,042,209,169
  5. Step 5: Solve for x
    x = 12,042,209,169/50,432.63
  6. Step 6: Final answer
    x = 238,778.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.