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Finding the Third Proportional to 128,186 and 198,998.50

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Solution

The third proportional to 128,186 and 198,998.50 is: 308,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,186 : 198,998.50 = 198,998.50 : x
  2. Step 2: Convert to fraction form
    128,186/198,998.50 = 198,998.50/x
  3. Step 3: Cross multiply
    128,186x = 198,998.50 × 198,998.50
  4. Step 4: Simplify right side
    128,186x = 39,600,403,002.25
  5. Step 5: Solve for x
    x = 39,600,403,002.25/128,186
  6. Step 6: Final answer
    x = 308,929.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.