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Finding the Third Proportional to 104,958,580 and 227,758,070

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Solution

The third proportional to 104,958,580 and 227,758,070 is: 494,230,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958,580 : 227,758,070 = 227,758,070 : x
  2. Step 2: Convert to fraction form
    104,958,580/227,758,070 = 227,758,070/x
  3. Step 3: Cross multiply
    104,958,580x = 227,758,070 × 227,758,070
  4. Step 4: Simplify right side
    104,958,580x = 51,873,738,450,124,896
  5. Step 5: Solve for x
    x = 51,873,738,450,124,896/104,958,580
  6. Step 6: Final answer
    x = 494,230,566.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.