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Finding the Third Proportional to 49,939 and 106,985.50

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Solution

The third proportional to 49,939 and 106,985.50 is: 229,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939 : 106,985.50 = 106,985.50 : x
  2. Step 2: Convert to fraction form
    49,939/106,985.50 = 106,985.50/x
  3. Step 3: Cross multiply
    49,939x = 106,985.50 × 106,985.50
  4. Step 4: Simplify right side
    49,939x = 11,445,897,210.25
  5. Step 5: Solve for x
    x = 11,445,897,210.25/49,939
  6. Step 6: Final answer
    x = 229,197.57

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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.