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Finding the Third Proportional to 113,809,800 and 268,574,160

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Solution

The third proportional to 113,809,800 and 268,574,160 is: 633,794,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,809,800 : 268,574,160 = 268,574,160 : x
  2. Step 2: Convert to fraction form
    113,809,800/268,574,160 = 268,574,160/x
  3. Step 3: Cross multiply
    113,809,800x = 268,574,160 × 268,574,160
  4. Step 4: Simplify right side
    113,809,800x = 72,132,079,419,705,600
  5. Step 5: Solve for x
    x = 72,132,079,419,705,600/113,809,800
  6. Step 6: Final answer
    x = 633,794,975.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.