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Finding the Third Proportional to 45,273,067 and 98,202,197

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Solution

The third proportional to 45,273,067 and 98,202,197 is: 213,011,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,273,067 : 98,202,197 = 98,202,197 : x
  2. Step 2: Convert to fraction form
    45,273,067/98,202,197 = 98,202,197/x
  3. Step 3: Cross multiply
    45,273,067x = 98,202,197 × 98,202,197
  4. Step 4: Simplify right side
    45,273,067x = 9,643,671,495,626,808
  5. Step 5: Solve for x
    x = 9,643,671,495,626,808/45,273,067
  6. Step 6: Final answer
    x = 213,011,225.76

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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.