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Finding the Third Proportional to 103,695,412 and 222,181,546

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Solution

The third proportional to 103,695,412 and 222,181,546 is: 476,054,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695,412 : 222,181,546 = 222,181,546 : x
  2. Step 2: Convert to fraction form
    103,695,412/222,181,546 = 222,181,546/x
  3. Step 3: Cross multiply
    103,695,412x = 222,181,546 × 222,181,546
  4. Step 4: Simplify right side
    103,695,412x = 49,364,639,382,950,112
  5. Step 5: Solve for x
    x = 49,364,639,382,950,112/103,695,412
  6. Step 6: Final answer
    x = 476,054,228.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.