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Finding the Third Proportional to 42,782,568 and 92,385,168

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Solution

The third proportional to 42,782,568 and 92,385,168 is: 199,497,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782,568 : 92,385,168 = 92,385,168 : x
  2. Step 2: Convert to fraction form
    42,782,568/92,385,168 = 92,385,168/x
  3. Step 3: Cross multiply
    42,782,568x = 92,385,168 × 92,385,168
  4. Step 4: Simplify right side
    42,782,568x = 8,535,019,266,388,224
  5. Step 5: Solve for x
    x = 8,535,019,266,388,224/42,782,568
  6. Step 6: Final answer
    x = 199,497,591.32

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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.