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Finding the Third Proportional to 97,819.50 and 214,390.50

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Solution

The third proportional to 97,819.50 and 214,390.50 is: 469,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,819.50 : 214,390.50 = 214,390.50 : x
  2. Step 2: Convert to fraction form
    97,819.50/214,390.50 = 214,390.50/x
  3. Step 3: Cross multiply
    97,819.50x = 214,390.50 × 214,390.50
  4. Step 4: Simplify right side
    97,819.50x = 45,963,286,490.25
  5. Step 5: Solve for x
    x = 45,963,286,490.25/97,819.50
  6. Step 6: Final answer
    x = 469,878.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.