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Finding the Third Proportional to 45,273,078 and 98,202,216

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Solution

The third proportional to 45,273,078 and 98,202,216 is: 213,011,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,078 : 98,202,216 = 98,202,216 : x
  2. Step 2: Convert to fraction form
    45,273,078/98,202,216 = 98,202,216/x
  3. Step 3: Cross multiply
    45,273,078x = 98,202,216 × 98,202,216
  4. Step 4: Simplify right side
    45,273,078x = 9,643,675,227,310,656
  5. Step 5: Solve for x
    x = 9,643,675,227,310,656/45,273,078
  6. Step 6: Final answer
    x = 213,011,256.43

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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.