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Finding the Third Proportional to 177,425,100 and 388,297,359

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Solution

The third proportional to 177,425,100 and 388,297,359 is: 849,794,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,425,100 : 388,297,359 = 388,297,359 : x
  2. Step 2: Convert to fraction form
    177,425,100/388,297,359 = 388,297,359/x
  3. Step 3: Cross multiply
    177,425,100x = 388,297,359 × 388,297,359
  4. Step 4: Simplify right side
    177,425,100x = 150,774,839,006,374,880
  5. Step 5: Solve for x
    x = 150,774,839,006,374,880/177,425,100
  6. Step 6: Final answer
    x = 849,794,301.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.