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Finding the Third Proportional to 92,677.50 and 203,398.50

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Solution

The third proportional to 92,677.50 and 203,398.50 is: 446,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,677.50 : 203,398.50 = 203,398.50 : x
  2. Step 2: Convert to fraction form
    92,677.50/203,398.50 = 203,398.50/x
  3. Step 3: Cross multiply
    92,677.50x = 203,398.50 × 203,398.50
  4. Step 4: Simplify right side
    92,677.50x = 41,370,949,802.25
  5. Step 5: Solve for x
    x = 41,370,949,802.25/92,677.50
  6. Step 6: Final answer
    x = 446,396.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.