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Finding the Third Proportional to 128,093.91 and 191,443.50

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Solution

The third proportional to 128,093.91 and 191,443.50 is: 286,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,093.91 : 191,443.50 = 191,443.50 : x
  2. Step 2: Convert to fraction form
    128,093.91/191,443.50 = 191,443.50/x
  3. Step 3: Cross multiply
    128,093.91x = 191,443.50 × 191,443.50
  4. Step 4: Simplify right side
    128,093.91x = 36,650,613,692.25
  5. Step 5: Solve for x
    x = 36,650,613,692.25/128,093.91
  6. Step 6: Final answer
    x = 286,123.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.