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Finding the Third Proportional to 90,155 and 192,817.50

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Solution

The third proportional to 90,155 and 192,817.50 is: 412,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,155 : 192,817.50 = 192,817.50 : x
  2. Step 2: Convert to fraction form
    90,155/192,817.50 = 192,817.50/x
  3. Step 3: Cross multiply
    90,155x = 192,817.50 × 192,817.50
  4. Step 4: Simplify right side
    90,155x = 37,178,588,306.25
  5. Step 5: Solve for x
    x = 37,178,588,306.25/90,155
  6. Step 6: Final answer
    x = 412,385.21

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Why These Related Problems?

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