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Finding the Third Proportional to 42,628,209 and 92,425,275

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Solution

The third proportional to 42,628,209 and 92,425,275 is: 200,393,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628,209 : 92,425,275 = 92,425,275 : x
  2. Step 2: Convert to fraction form
    42,628,209/92,425,275 = 92,425,275/x
  3. Step 3: Cross multiply
    42,628,209x = 92,425,275 × 92,425,275
  4. Step 4: Simplify right side
    42,628,209x = 8,542,431,458,825,625
  5. Step 5: Solve for x
    x = 8,542,431,458,825,625/42,628,209
  6. Step 6: Final answer
    x = 200,393,862.64

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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.