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Finding the Third Proportional to 90,701 and 187,223.50

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Solution

The third proportional to 90,701 and 187,223.50 is: 386,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,701 : 187,223.50 = 187,223.50 : x
  2. Step 2: Convert to fraction form
    90,701/187,223.50 = 187,223.50/x
  3. Step 3: Cross multiply
    90,701x = 187,223.50 × 187,223.50
  4. Step 4: Simplify right side
    90,701x = 35,052,638,952.25
  5. Step 5: Solve for x
    x = 35,052,638,952.25/90,701
  6. Step 6: Final answer
    x = 386,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.