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Finding the Third Proportional to 136,165.50 and 209,990.25

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Solution

The third proportional to 136,165.50 and 209,990.25 is: 323,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,165.50 : 209,990.25 = 209,990.25 : x
  2. Step 2: Convert to fraction form
    136,165.50/209,990.25 = 209,990.25/x
  3. Step 3: Cross multiply
    136,165.50x = 209,990.25 × 209,990.25
  4. Step 4: Simplify right side
    136,165.50x = 44,095,905,095.06
  5. Step 5: Solve for x
    x = 44,095,905,095.06/136,165.50
  6. Step 6: Final answer
    x = 323,840.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.