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Finding the Third Proportional to 172,021,787,626.50 and 239,182,545,510

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Solution

The third proportional to 172,021,787,626.50 and 239,182,545,510 is: 332,564,210,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,021,787,626.50 : 239,182,545,510 = 239,182,545,510 : x
  2. Step 2: Convert to fraction form
    172,021,787,626.50/239,182,545,510 = 239,182,545,510/x
  3. Step 3: Cross multiply
    172,021,787,626.50x = 239,182,545,510 × 239,182,545,510
  4. Step 4: Simplify right side
    172,021,787,626.50x = 57,208,290,076,643,217,637,376
  5. Step 5: Solve for x
    x = 57,208,290,076,643,217,637,376/172,021,787,626.50
  6. Step 6: Final answer
    x = 332,564,210,998.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.