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Finding the Third Proportional to 45,202,478.25 and 98,110,850.25

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Solution

The third proportional to 45,202,478.25 and 98,110,850.25 is: 212,947,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202,478.25 : 98,110,850.25 = 98,110,850.25 : x
  2. Step 2: Convert to fraction form
    45,202,478.25/98,110,850.25 = 98,110,850.25/x
  3. Step 3: Cross multiply
    45,202,478.25x = 98,110,850.25 × 98,110,850.25
  4. Step 4: Simplify right side
    45,202,478.25x = 9,625,738,936,777,926
  5. Step 5: Solve for x
    x = 9,625,738,936,777,926/45,202,478.25
  6. Step 6: Final answer
    x = 212,947,150.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.