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Finding the Third Proportional to 45,273,078 and 98,202,220

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Solution

The third proportional to 45,273,078 and 98,202,220 is: 213,011,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,078 : 98,202,220 = 98,202,220 : x
  2. Step 2: Convert to fraction form
    45,273,078/98,202,220 = 98,202,220/x
  3. Step 3: Cross multiply
    45,273,078x = 98,202,220 × 98,202,220
  4. Step 4: Simplify right side
    45,273,078x = 9,643,676,012,928,400
  5. Step 5: Solve for x
    x = 9,643,676,012,928,400/45,273,078
  6. Step 6: Final answer
    x = 213,011,273.78

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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.