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Finding the Third Proportional to 99,339 and 212,884.50

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Solution

The third proportional to 99,339 and 212,884.50 is: 456,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,339 : 212,884.50 = 212,884.50 : x
  2. Step 2: Convert to fraction form
    99,339/212,884.50 = 212,884.50/x
  3. Step 3: Cross multiply
    99,339x = 212,884.50 × 212,884.50
  4. Step 4: Simplify right side
    99,339x = 45,319,810,340.25
  5. Step 5: Solve for x
    x = 45,319,810,340.25/99,339
  6. Step 6: Final answer
    x = 456,213.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.