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Finding the Third Proportional to 90,675 and 213,349.50

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Solution

The third proportional to 90,675 and 213,349.50 is: 501,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,675 : 213,349.50 = 213,349.50 : x
  2. Step 2: Convert to fraction form
    90,675/213,349.50 = 213,349.50/x
  3. Step 3: Cross multiply
    90,675x = 213,349.50 × 213,349.50
  4. Step 4: Simplify right side
    90,675x = 45,518,009,150.25
  5. Step 5: Solve for x
    x = 45,518,009,150.25/90,675
  6. Step 6: Final answer
    x = 501,990.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.