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Finding the Third Proportional to 88,684.50 and 188,871

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Solution

The third proportional to 88,684.50 and 188,871 is: 402,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,684.50 : 188,871 = 188,871 : x
  2. Step 2: Convert to fraction form
    88,684.50/188,871 = 188,871/x
  3. Step 3: Cross multiply
    88,684.50x = 188,871 × 188,871
  4. Step 4: Simplify right side
    88,684.50x = 35,672,254,641
  5. Step 5: Solve for x
    x = 35,672,254,641/88,684.50
  6. Step 6: Final answer
    x = 402,237.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.