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Finding the Third Proportional to 165,285,732 and 360,332,196

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Solution

The third proportional to 165,285,732 and 360,332,196 is: 785,544,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,285,732 : 360,332,196 = 360,332,196 : x
  2. Step 2: Convert to fraction form
    165,285,732/360,332,196 = 360,332,196/x
  3. Step 3: Cross multiply
    165,285,732x = 360,332,196 × 360,332,196
  4. Step 4: Simplify right side
    165,285,732x = 129,839,291,474,182,416
  5. Step 5: Solve for x
    x = 129,839,291,474,182,416/165,285,732
  6. Step 6: Final answer
    x = 785,544,462.33

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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.