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Finding the Third Proportional to 45,498,912 and 97,375,114

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Solution

The third proportional to 45,498,912 and 97,375,114 is: 208,398,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,912 : 97,375,114 = 97,375,114 : x
  2. Step 2: Convert to fraction form
    45,498,912/97,375,114 = 97,375,114/x
  3. Step 3: Cross multiply
    45,498,912x = 97,375,114 × 97,375,114
  4. Step 4: Simplify right side
    45,498,912x = 9,481,912,826,512,996
  5. Step 5: Solve for x
    x = 9,481,912,826,512,996/45,498,912
  6. Step 6: Final answer
    x = 208,398,671.74

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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.