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Finding the Third Proportional to 43,277,184 and 91,383,264

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Solution

The third proportional to 43,277,184 and 91,383,264 is: 192,963,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,277,184 : 91,383,264 = 91,383,264 : x
  2. Step 2: Convert to fraction form
    43,277,184/91,383,264 = 91,383,264/x
  3. Step 3: Cross multiply
    43,277,184x = 91,383,264 × 91,383,264
  4. Step 4: Simplify right side
    43,277,184x = 8,350,900,939,293,696
  5. Step 5: Solve for x
    x = 8,350,900,939,293,696/43,277,184
  6. Step 6: Final answer
    x = 192,963,131.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.