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Finding the Third Proportional to 97,777.13 and 139,470.19

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Solution

The third proportional to 97,777.13 and 139,470.19 is: 198,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777.13 : 139,470.19 = 139,470.19 : x
  2. Step 2: Convert to fraction form
    97,777.13/139,470.19 = 139,470.19/x
  3. Step 3: Cross multiply
    97,777.13x = 139,470.19 × 139,470.19
  4. Step 4: Simplify right side
    97,777.13x = 19,451,933,201.29
  5. Step 5: Solve for x
    x = 19,451,933,201.29/97,777.13
  6. Step 6: Final answer
    x = 198,941.55

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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.