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Finding the Third Proportional to 138,420.38 and 197,939.63

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Solution

The third proportional to 138,420.38 and 197,939.63 is: 283,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420.38 : 197,939.63 = 197,939.63 : x
  2. Step 2: Convert to fraction form
    138,420.38/197,939.63 = 197,939.63/x
  3. Step 3: Cross multiply
    138,420.38x = 197,939.63 × 197,939.63
  4. Step 4: Simplify right side
    138,420.38x = 39,180,095,145.14
  5. Step 5: Solve for x
    x = 39,180,095,145.14/138,420.38
  6. Step 6: Final answer
    x = 283,051.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.