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Finding the Third Proportional to 49,563,454.50 and 103,200,016.50

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Solution

The third proportional to 49,563,454.50 and 103,200,016.50 is: 214,880,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,454.50 : 103,200,016.50 = 103,200,016.50 : x
  2. Step 2: Convert to fraction form
    49,563,454.50/103,200,016.50 = 103,200,016.50/x
  3. Step 3: Cross multiply
    49,563,454.50x = 103,200,016.50 × 103,200,016.50
  4. Step 4: Simplify right side
    49,563,454.50x = 10,650,243,405,600,272
  5. Step 5: Solve for x
    x = 10,650,243,405,600,272/49,563,454.50
  6. Step 6: Final answer
    x = 214,880,974.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.