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Finding the Third Proportional to 108,356.91 and 143,777.95

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Solution

The third proportional to 108,356.91 and 143,777.95 is: 190,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,356.91 : 143,777.95 = 143,777.95 : x
  2. Step 2: Convert to fraction form
    108,356.91/143,777.95 = 143,777.95/x
  3. Step 3: Cross multiply
    108,356.91x = 143,777.95 × 143,777.95
  4. Step 4: Simplify right side
    108,356.91x = 20,672,099,804.81
  5. Step 5: Solve for x
    x = 20,672,099,804.81/108,356.91
  6. Step 6: Final answer
    x = 190,777.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.