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Finding the Third Proportional to 45,498,913 and 97,375,115

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Solution

The third proportional to 45,498,913 and 97,375,115 is: 208,398,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,913 : 97,375,115 = 97,375,115 : x
  2. Step 2: Convert to fraction form
    45,498,913/97,375,115 = 97,375,115/x
  3. Step 3: Cross multiply
    45,498,913x = 97,375,115 × 97,375,115
  4. Step 4: Simplify right side
    45,498,913x = 9,481,913,021,263,224
  5. Step 5: Solve for x
    x = 9,481,913,021,263,224/45,498,913
  6. Step 6: Final answer
    x = 208,398,671.44

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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.