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Finding the Third Proportional to 45,811,926 and 98,181,690

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Solution

The third proportional to 45,811,926 and 98,181,690 is: 210,417,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811,926 : 98,181,690 = 98,181,690 : x
  2. Step 2: Convert to fraction form
    45,811,926/98,181,690 = 98,181,690/x
  3. Step 3: Cross multiply
    45,811,926x = 98,181,690 × 98,181,690
  4. Step 4: Simplify right side
    45,811,926x = 9,639,644,251,256,100
  5. Step 5: Solve for x
    x = 9,639,644,251,256,100/45,811,926
  6. Step 6: Final answer
    x = 210,417,790.58

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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.