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Finding the Third Proportional to 152,882,528 and 332,637,472

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Solution

The third proportional to 152,882,528 and 332,637,472 is: 723,743,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882,528 : 332,637,472 = 332,637,472 : x
  2. Step 2: Convert to fraction form
    152,882,528/332,637,472 = 332,637,472/x
  3. Step 3: Cross multiply
    152,882,528x = 332,637,472 × 332,637,472
  4. Step 4: Simplify right side
    152,882,528x = 110,647,687,778,550,784
  5. Step 5: Solve for x
    x = 110,647,687,778,550,784/152,882,528
  6. Step 6: Final answer
    x = 723,743,185.22

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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.