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Finding the Third Proportional to 152,882,548 and 332,637,512

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Solution

The third proportional to 152,882,548 and 332,637,512 is: 723,743,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,548 : 332,637,512 = 332,637,512 : x
  2. Step 2: Convert to fraction form
    152,882,548/332,637,512 = 332,637,512/x
  3. Step 3: Cross multiply
    152,882,548x = 332,637,512 × 332,637,512
  4. Step 4: Simplify right side
    152,882,548x = 110,647,714,389,550,144
  5. Step 5: Solve for x
    x = 110,647,714,389,550,144/152,882,548
  6. Step 6: Final answer
    x = 723,743,264.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.