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Finding the Third Proportional to 94,655 and 202,443.50

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Solution

The third proportional to 94,655 and 202,443.50 is: 432,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,655 : 202,443.50 = 202,443.50 : x
  2. Step 2: Convert to fraction form
    94,655/202,443.50 = 202,443.50/x
  3. Step 3: Cross multiply
    94,655x = 202,443.50 × 202,443.50
  4. Step 4: Simplify right side
    94,655x = 40,983,370,692.25
  5. Step 5: Solve for x
    x = 40,983,370,692.25/94,655
  6. Step 6: Final answer
    x = 432,976.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.