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Finding the Third Proportional to 42,014,232 and 91,198,944

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Solution

The third proportional to 42,014,232 and 91,198,944 is: 197,962,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014,232 : 91,198,944 = 91,198,944 : x
  2. Step 2: Convert to fraction form
    42,014,232/91,198,944 = 91,198,944/x
  3. Step 3: Cross multiply
    42,014,232x = 91,198,944 × 91,198,944
  4. Step 4: Simplify right side
    42,014,232x = 8,317,247,386,715,136
  5. Step 5: Solve for x
    x = 8,317,247,386,715,136/42,014,232
  6. Step 6: Final answer
    x = 197,962,618.64

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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.