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Finding the Third Proportional to 91,269 and 212,044.50

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Solution

The third proportional to 91,269 and 212,044.50 is: 492,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,269 : 212,044.50 = 212,044.50 : x
  2. Step 2: Convert to fraction form
    91,269/212,044.50 = 212,044.50/x
  3. Step 3: Cross multiply
    91,269x = 212,044.50 × 212,044.50
  4. Step 4: Simplify right side
    91,269x = 44,962,869,980.25
  5. Step 5: Solve for x
    x = 44,962,869,980.25/91,269
  6. Step 6: Final answer
    x = 492,641.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.