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Finding the Third Proportional to 165,484,686 and 360,057,434

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Solution

The third proportional to 165,484,686 and 360,057,434 is: 783,403,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,484,686 : 360,057,434 = 360,057,434 : x
  2. Step 2: Convert to fraction form
    165,484,686/360,057,434 = 360,057,434/x
  3. Step 3: Cross multiply
    165,484,686x = 360,057,434 × 360,057,434
  4. Step 4: Simplify right side
    165,484,686x = 129,641,355,778,664,352
  5. Step 5: Solve for x
    x = 129,641,355,778,664,352/165,484,686
  6. Step 6: Final answer
    x = 783,403,944.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.