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Finding the Third Proportional to 181,136,302.50 and 397,857,363

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Solution

The third proportional to 181,136,302.50 and 397,857,363 is: 873,874,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136,302.50 : 397,857,363 = 397,857,363 : x
  2. Step 2: Convert to fraction form
    181,136,302.50/397,857,363 = 397,857,363/x
  3. Step 3: Cross multiply
    181,136,302.50x = 397,857,363 × 397,857,363
  4. Step 4: Simplify right side
    181,136,302.50x = 158,290,481,293,313,760
  5. Step 5: Solve for x
    x = 158,290,481,293,313,760/181,136,302.50
  6. Step 6: Final answer
    x = 873,874,972.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.