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Finding the Third Proportional to 131,631 and 188,101.50

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Solution

The third proportional to 131,631 and 188,101.50 is: 268,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,631 : 188,101.50 = 188,101.50 : x
  2. Step 2: Convert to fraction form
    131,631/188,101.50 = 188,101.50/x
  3. Step 3: Cross multiply
    131,631x = 188,101.50 × 188,101.50
  4. Step 4: Simplify right side
    131,631x = 35,382,174,302.25
  5. Step 5: Solve for x
    x = 35,382,174,302.25/131,631
  6. Step 6: Final answer
    x = 268,798.19

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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.