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Finding the Third Proportional to 45,209.81 and 109,377

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Solution

The third proportional to 45,209.81 and 109,377 is: 264,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,209.81 : 109,377 = 109,377 : x
  2. Step 2: Convert to fraction form
    45,209.81/109,377 = 109,377/x
  3. Step 3: Cross multiply
    45,209.81x = 109,377 × 109,377
  4. Step 4: Simplify right side
    45,209.81x = 11,963,328,129
  5. Step 5: Solve for x
    x = 11,963,328,129/45,209.81
  6. Step 6: Final answer
    x = 264,617.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.