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Finding the Third Proportional to 45,498,908 and 97,375,106

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Solution

The third proportional to 45,498,908 and 97,375,106 is: 208,398,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498,908 : 97,375,106 = 97,375,106 : x
  2. Step 2: Convert to fraction form
    45,498,908/97,375,106 = 97,375,106/x
  3. Step 3: Cross multiply
    45,498,908x = 97,375,106 × 97,375,106
  4. Step 4: Simplify right side
    45,498,908x = 9,481,911,268,511,236
  5. Step 5: Solve for x
    x = 9,481,911,268,511,236/45,498,908
  6. Step 6: Final answer
    x = 208,398,655.82

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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.