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Finding the Third Proportional to 42,605,959.50 and 92,022,054.75

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Solution

The third proportional to 42,605,959.50 and 92,022,054.75 is: 198,752,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,605,959.50 : 92,022,054.75 = 92,022,054.75 : x
  2. Step 2: Convert to fraction form
    42,605,959.50/92,022,054.75 = 92,022,054.75/x
  3. Step 3: Cross multiply
    42,605,959.50x = 92,022,054.75 × 92,022,054.75
  4. Step 4: Simplify right side
    42,605,959.50x = 8,468,058,560,411,998
  5. Step 5: Solve for x
    x = 8,468,058,560,411,998/42,605,959.50
  6. Step 6: Final answer
    x = 198,752,912.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.