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Finding the Third Proportional to 45,974,540 and 98,195,134

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Solution

The third proportional to 45,974,540 and 98,195,134 is: 209,730,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,974,540 : 98,195,134 = 98,195,134 : x
  2. Step 2: Convert to fraction form
    45,974,540/98,195,134 = 98,195,134/x
  3. Step 3: Cross multiply
    45,974,540x = 98,195,134 × 98,195,134
  4. Step 4: Simplify right side
    45,974,540x = 9,642,284,341,277,956
  5. Step 5: Solve for x
    x = 9,642,284,341,277,956/45,974,540
  6. Step 6: Final answer
    x = 209,730,958.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.