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Finding the Third Proportional to 90,854.50 and 212,212

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Solution

The third proportional to 90,854.50 and 212,212 is: 495,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,854.50 : 212,212 = 212,212 : x
  2. Step 2: Convert to fraction form
    90,854.50/212,212 = 212,212/x
  3. Step 3: Cross multiply
    90,854.50x = 212,212 × 212,212
  4. Step 4: Simplify right side
    90,854.50x = 45,033,932,944
  5. Step 5: Solve for x
    x = 45,033,932,944/90,854.50
  6. Step 6: Final answer
    x = 495,670.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.