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Finding the Third Proportional to 183,211,792 and 395,119,136

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Solution

The third proportional to 183,211,792 and 395,119,136 is: 852,123,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,211,792 : 395,119,136 = 395,119,136 : x
  2. Step 2: Convert to fraction form
    183,211,792/395,119,136 = 395,119,136/x
  3. Step 3: Cross multiply
    183,211,792x = 395,119,136 × 395,119,136
  4. Step 4: Simplify right side
    183,211,792x = 156,119,131,633,386,496
  5. Step 5: Solve for x
    x = 156,119,131,633,386,496/183,211,792
  6. Step 6: Final answer
    x = 852,123,817.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.