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Finding the Third Proportional to 104,218,581 and 222,749,619

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Solution

The third proportional to 104,218,581 and 222,749,619 is: 476,089,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,218,581 : 222,749,619 = 222,749,619 : x
  2. Step 2: Convert to fraction form
    104,218,581/222,749,619 = 222,749,619/x
  3. Step 3: Cross multiply
    104,218,581x = 222,749,619 × 222,749,619
  4. Step 4: Simplify right side
    104,218,581x = 49,617,392,764,645,160
  5. Step 5: Solve for x
    x = 49,617,392,764,645,160/104,218,581
  6. Step 6: Final answer
    x = 476,089,698.10

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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.