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Finding the Third Proportional to 107,407,022 and 165,188,235

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Solution

The third proportional to 107,407,022 and 165,188,235 is: 254,053,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,022 : 165,188,235 = 165,188,235 : x
  2. Step 2: Convert to fraction form
    107,407,022/165,188,235 = 165,188,235/x
  3. Step 3: Cross multiply
    107,407,022x = 165,188,235 × 165,188,235
  4. Step 4: Simplify right side
    107,407,022x = 27,287,152,982,415,224
  5. Step 5: Solve for x
    x = 27,287,152,982,415,224/107,407,022
  6. Step 6: Final answer
    x = 254,053,715.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.