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Finding the Third Proportional to 88,671 and 194,572.50

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Solution

The third proportional to 88,671 and 194,572.50 is: 426,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,671 : 194,572.50 = 194,572.50 : x
  2. Step 2: Convert to fraction form
    88,671/194,572.50 = 194,572.50/x
  3. Step 3: Cross multiply
    88,671x = 194,572.50 × 194,572.50
  4. Step 4: Simplify right side
    88,671x = 37,858,457,756.25
  5. Step 5: Solve for x
    x = 37,858,457,756.25/88,671
  6. Step 6: Final answer
    x = 426,954.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.