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Finding the Third Proportional to 101,206,121 and 155,492,016

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Solution

The third proportional to 101,206,121 and 155,492,016 is: 238,896,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206,121 : 155,492,016 = 155,492,016 : x
  2. Step 2: Convert to fraction form
    101,206,121/155,492,016 = 155,492,016/x
  3. Step 3: Cross multiply
    101,206,121x = 155,492,016 × 155,492,016
  4. Step 4: Simplify right side
    101,206,121x = 24,177,767,039,744,256
  5. Step 5: Solve for x
    x = 24,177,767,039,744,256/101,206,121
  6. Step 6: Final answer
    x = 238,896,292.05

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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.