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Finding the Third Proportional to 92,838.66 and 140,145.19

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Solution

The third proportional to 92,838.66 and 140,145.19 is: 211,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,838.66 : 140,145.19 = 140,145.19 : x
  2. Step 2: Convert to fraction form
    92,838.66/140,145.19 = 140,145.19/x
  3. Step 3: Cross multiply
    92,838.66x = 140,145.19 × 140,145.19
  4. Step 4: Simplify right side
    92,838.66x = 19,640,673,579.41
  5. Step 5: Solve for x
    x = 19,640,673,579.41/92,838.66
  6. Step 6: Final answer
    x = 211,557.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.