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Finding the Third Proportional to 165,593,767.50 and 361,265,832

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Solution

The third proportional to 165,593,767.50 and 361,265,832 is: 788,151,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,593,767.50 : 361,265,832 = 361,265,832 : x
  2. Step 2: Convert to fraction form
    165,593,767.50/361,265,832 = 361,265,832/x
  3. Step 3: Cross multiply
    165,593,767.50x = 361,265,832 × 361,265,832
  4. Step 4: Simplify right side
    165,593,767.50x = 130,513,001,370,652,224
  5. Step 5: Solve for x
    x = 130,513,001,370,652,224/165,593,767.50
  6. Step 6: Final answer
    x = 788,151,651.73

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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.