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Finding the Third Proportional to 165,745,395.75 and 360,917,265

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Solution

The third proportional to 165,745,395.75 and 360,917,265 is: 785,911,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,745,395.75 : 360,917,265 = 360,917,265 : x
  2. Step 2: Convert to fraction form
    165,745,395.75/360,917,265 = 360,917,265/x
  3. Step 3: Cross multiply
    165,745,395.75x = 360,917,265 × 360,917,265
  4. Step 4: Simplify right side
    165,745,395.75x = 130,261,272,175,080,224
  5. Step 5: Solve for x
    x = 130,261,272,175,080,224/165,745,395.75
  6. Step 6: Final answer
    x = 785,911,859.49

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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.