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Finding the Third Proportional to 49,481,294 and 102,356,809

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Solution

The third proportional to 49,481,294 and 102,356,809 is: 211,734,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,294 : 102,356,809 = 102,356,809 : x
  2. Step 2: Convert to fraction form
    49,481,294/102,356,809 = 102,356,809/x
  3. Step 3: Cross multiply
    49,481,294x = 102,356,809 × 102,356,809
  4. Step 4: Simplify right side
    49,481,294x = 10,476,916,348,662,480
  5. Step 5: Solve for x
    x = 10,476,916,348,662,480/49,481,294
  6. Step 6: Final answer
    x = 211,734,890.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.