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Finding the Third Proportional to 42,771,172 and 92,219,336

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Solution

The third proportional to 42,771,172 and 92,219,336 is: 198,834,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771,172 : 92,219,336 = 92,219,336 : x
  2. Step 2: Convert to fraction form
    42,771,172/92,219,336 = 92,219,336/x
  3. Step 3: Cross multiply
    42,771,172x = 92,219,336 × 92,219,336
  4. Step 4: Simplify right side
    42,771,172x = 8,504,405,932,280,896
  5. Step 5: Solve for x
    x = 8,504,405,932,280,896/42,771,172
  6. Step 6: Final answer
    x = 198,834,998.78

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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.