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Finding the Third Proportional to 92,703.66 and 198,529.31

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Solution

The third proportional to 92,703.66 and 198,529.31 is: 425,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,703.66 : 198,529.31 = 198,529.31 : x
  2. Step 2: Convert to fraction form
    92,703.66/198,529.31 = 198,529.31/x
  3. Step 3: Cross multiply
    92,703.66x = 198,529.31 × 198,529.31
  4. Step 4: Simplify right side
    92,703.66x = 39,413,887,921.72
  5. Step 5: Solve for x
    x = 39,413,887,921.72/92,703.66
  6. Step 6: Final answer
    x = 425,160.02

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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.