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Finding the Third Proportional to 45,811,928 and 98,181,694

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Solution

The third proportional to 45,811,928 and 98,181,694 is: 210,417,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811,928 : 98,181,694 = 98,181,694 : x
  2. Step 2: Convert to fraction form
    45,811,928/98,181,694 = 98,181,694/x
  3. Step 3: Cross multiply
    45,811,928x = 98,181,694 × 98,181,694
  4. Step 4: Simplify right side
    45,811,928x = 9,639,645,036,709,636
  5. Step 5: Solve for x
    x = 9,639,645,036,709,636/45,811,928
  6. Step 6: Final answer
    x = 210,417,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.