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Finding the Third Proportional to 69,102,864 and 148,260,096

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Solution

The third proportional to 69,102,864 and 148,260,096 is: 318,091,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102,864 : 148,260,096 = 148,260,096 : x
  2. Step 2: Convert to fraction form
    69,102,864/148,260,096 = 148,260,096/x
  3. Step 3: Cross multiply
    69,102,864x = 148,260,096 × 148,260,096
  4. Step 4: Simplify right side
    69,102,864x = 21,981,056,065,929,216
  5. Step 5: Solve for x
    x = 21,981,056,065,929,216/69,102,864
  6. Step 6: Final answer
    x = 318,091,824.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.