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Finding the Third Proportional to 49,235,800.50 and 113,971,965

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Solution

The third proportional to 49,235,800.50 and 113,971,965 is: 263,824,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,800.50 : 113,971,965 = 113,971,965 : x
  2. Step 2: Convert to fraction form
    49,235,800.50/113,971,965 = 113,971,965/x
  3. Step 3: Cross multiply
    49,235,800.50x = 113,971,965 × 113,971,965
  4. Step 4: Simplify right side
    49,235,800.50x = 12,989,608,805,961,224
  5. Step 5: Solve for x
    x = 12,989,608,805,961,224/49,235,800.50
  6. Step 6: Final answer
    x = 263,824,466.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.