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Finding the Third Proportional to 92,787.47 and 198,696.94

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Solution

The third proportional to 92,787.47 and 198,696.94 is: 425,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,787.47 : 198,696.94 = 198,696.94 : x
  2. Step 2: Convert to fraction form
    92,787.47/198,696.94 = 198,696.94/x
  3. Step 3: Cross multiply
    92,787.47x = 198,696.94 × 198,696.94
  4. Step 4: Simplify right side
    92,787.47x = 39,480,472,971.88
  5. Step 5: Solve for x
    x = 39,480,472,971.88/92,787.47
  6. Step 6: Final answer
    x = 425,493.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.