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Finding the Third Proportional to 42,586,398 and 92,646,183

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Solution

The third proportional to 42,586,398 and 92,646,183 is: 201,550,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586,398 : 92,646,183 = 92,646,183 : x
  2. Step 2: Convert to fraction form
    42,586,398/92,646,183 = 92,646,183/x
  3. Step 3: Cross multiply
    42,586,398x = 92,646,183 × 92,646,183
  4. Step 4: Simplify right side
    42,586,398x = 8,583,315,224,469,489
  5. Step 5: Solve for x
    x = 8,583,315,224,469,489/42,586,398
  6. Step 6: Final answer
    x = 201,550,627.14

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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.