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Finding the Third Proportional to 91,380 and 211,531.50

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Solution

The third proportional to 91,380 and 211,531.50 is: 489,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,380 : 211,531.50 = 211,531.50 : x
  2. Step 2: Convert to fraction form
    91,380/211,531.50 = 211,531.50/x
  3. Step 3: Cross multiply
    91,380x = 211,531.50 × 211,531.50
  4. Step 4: Simplify right side
    91,380x = 44,745,575,492.25
  5. Step 5: Solve for x
    x = 44,745,575,492.25/91,380
  6. Step 6: Final answer
    x = 489,664.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.