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Finding the Third Proportional to 91,643.91 and 138,051.84

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Solution

The third proportional to 91,643.91 and 138,051.84 is: 207,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,643.91 : 138,051.84 = 138,051.84 : x
  2. Step 2: Convert to fraction form
    91,643.91/138,051.84 = 138,051.84/x
  3. Step 3: Cross multiply
    91,643.91x = 138,051.84 × 138,051.84
  4. Step 4: Simplify right side
    91,643.91x = 19,058,311,562.77
  5. Step 5: Solve for x
    x = 19,058,311,562.77/91,643.91
  6. Step 6: Final answer
    x = 207,960.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.