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Finding the Third Proportional to 139,819.50 and 216,897.75

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Solution

The third proportional to 139,819.50 and 216,897.75 is: 336,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,819.50 : 216,897.75 = 216,897.75 : x
  2. Step 2: Convert to fraction form
    139,819.50/216,897.75 = 216,897.75/x
  3. Step 3: Cross multiply
    139,819.50x = 216,897.75 × 216,897.75
  4. Step 4: Simplify right side
    139,819.50x = 47,044,633,955.06
  5. Step 5: Solve for x
    x = 47,044,633,955.06/139,819.50
  6. Step 6: Final answer
    x = 336,466.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.