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Finding the Third Proportional to 101,206,119 and 155,492,013

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Solution

The third proportional to 101,206,119 and 155,492,013 is: 238,896,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206,119 : 155,492,013 = 155,492,013 : x
  2. Step 2: Convert to fraction form
    101,206,119/155,492,013 = 155,492,013/x
  3. Step 3: Cross multiply
    101,206,119x = 155,492,013 × 155,492,013
  4. Step 4: Simplify right side
    101,206,119x = 24,177,766,106,792,168
  5. Step 5: Solve for x
    x = 24,177,766,106,792,168/101,206,119
  6. Step 6: Final answer
    x = 238,896,287.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.