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Finding the Third Proportional to 101,206,115 and 155,492,007

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Solution

The third proportional to 101,206,115 and 155,492,007 is: 238,896,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206,115 : 155,492,007 = 155,492,007 : x
  2. Step 2: Convert to fraction form
    101,206,115/155,492,007 = 155,492,007/x
  3. Step 3: Cross multiply
    101,206,115x = 155,492,007 × 155,492,007
  4. Step 4: Simplify right side
    101,206,115x = 24,177,764,240,888,048
  5. Step 5: Solve for x
    x = 24,177,764,240,888,048/101,206,115
  6. Step 6: Final answer
    x = 238,896,278.56

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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.