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Finding the Third Proportional to 42,591,282.75 and 92,644,997.75

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Solution

The third proportional to 42,591,282.75 and 92,644,997.75 is: 201,522,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591,282.75 : 92,644,997.75 = 92,644,997.75 : x
  2. Step 2: Convert to fraction form
    42,591,282.75/92,644,997.75 = 92,644,997.75/x
  3. Step 3: Cross multiply
    42,591,282.75x = 92,644,997.75 × 92,644,997.75
  4. Step 4: Simplify right side
    42,591,282.75x = 8,583,095,608,097,505
  5. Step 5: Solve for x
    x = 8,583,095,608,097,505/42,591,282.75
  6. Step 6: Final answer
    x = 201,522,355.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.