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Finding the Third Proportional to 49,235,802 and 113,971,968.75

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Solution

The third proportional to 49,235,802 and 113,971,968.75 is: 263,824,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,802 : 113,971,968.75 = 113,971,968.75 : x
  2. Step 2: Convert to fraction form
    49,235,802/113,971,968.75 = 113,971,968.75/x
  3. Step 3: Cross multiply
    49,235,802x = 113,971,968.75 × 113,971,968.75
  4. Step 4: Simplify right side
    49,235,802x = 12,989,609,660,750,976
  5. Step 5: Solve for x
    x = 12,989,609,660,750,976/49,235,802
  6. Step 6: Final answer
    x = 263,824,475.95

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