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Finding the Third Proportional to 47,699,484 and 102,952,866

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Solution

The third proportional to 47,699,484 and 102,952,866 is: 222,209,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699,484 : 102,952,866 = 102,952,866 : x
  2. Step 2: Convert to fraction form
    47,699,484/102,952,866 = 102,952,866/x
  3. Step 3: Cross multiply
    47,699,484x = 102,952,866 × 102,952,866
  4. Step 4: Simplify right side
    47,699,484x = 10,599,292,617,613,956
  5. Step 5: Solve for x
    x = 10,599,292,617,613,956/47,699,484
  6. Step 6: Final answer
    x = 222,209,796.18

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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.