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Finding the Third Proportional to 102,814,441.50 and 222,557,235

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Solution

The third proportional to 102,814,441.50 and 222,557,235 is: 481,758,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814,441.50 : 222,557,235 = 222,557,235 : x
  2. Step 2: Convert to fraction form
    102,814,441.50/222,557,235 = 222,557,235/x
  3. Step 3: Cross multiply
    102,814,441.50x = 222,557,235 × 222,557,235
  4. Step 4: Simplify right side
    102,814,441.50x = 49,531,722,850,845,224
  5. Step 5: Solve for x
    x = 49,531,722,850,845,224/102,814,441.50
  6. Step 6: Final answer
    x = 481,758,419.62

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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.