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Finding the Third Proportional to 45,001,698 and 98,180,958

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Solution

The third proportional to 45,001,698 and 98,180,958 is: 214,203,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,001,698 : 98,180,958 = 98,180,958 : x
  2. Step 2: Convert to fraction form
    45,001,698/98,180,958 = 98,180,958/x
  3. Step 3: Cross multiply
    45,001,698x = 98,180,958 × 98,180,958
  4. Step 4: Simplify right side
    45,001,698x = 9,639,500,513,797,764
  5. Step 5: Solve for x
    x = 9,639,500,513,797,764/45,001,698
  6. Step 6: Final answer
    x = 214,203,039.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.