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Finding the Third Proportional to 127,783.83 and 198,417.09

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Solution

The third proportional to 127,783.83 and 198,417.09 is: 308,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,783.83 : 198,417.09 = 198,417.09 : x
  2. Step 2: Convert to fraction form
    127,783.83/198,417.09 = 198,417.09/x
  3. Step 3: Cross multiply
    127,783.83x = 198,417.09 × 198,417.09
  4. Step 4: Simplify right side
    127,783.83x = 39,369,343,092.20
  5. Step 5: Solve for x
    x = 39,369,343,092.20/127,783.83
  6. Step 6: Final answer
    x = 308,093.31

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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.