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Finding the Third Proportional to 99,783.50 and 214,329

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Solution

The third proportional to 99,783.50 and 214,329 is: 460,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.50 : 214,329 = 214,329 : x
  2. Step 2: Convert to fraction form
    99,783.50/214,329 = 214,329/x
  3. Step 3: Cross multiply
    99,783.50x = 214,329 × 214,329
  4. Step 4: Simplify right side
    99,783.50x = 45,936,920,241
  5. Step 5: Solve for x
    x = 45,936,920,241/99,783.50
  6. Step 6: Final answer
    x = 460,365.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.