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Finding the Third Proportional to 128,196 and 199,015.31

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Solution

The third proportional to 128,196 and 199,015.31 is: 308,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,196 : 199,015.31 = 199,015.31 : x
  2. Step 2: Convert to fraction form
    128,196/199,015.31 = 199,015.31/x
  3. Step 3: Cross multiply
    128,196x = 199,015.31 × 199,015.31
  4. Step 4: Simplify right side
    128,196x = 39,607,094,609.47
  5. Step 5: Solve for x
    x = 39,607,094,609.47/128,196
  6. Step 6: Final answer
    x = 308,957.34

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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.