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Finding the Third Proportional to 152,746,987 and 340,067,203

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Solution

The third proportional to 152,746,987 and 340,067,203 is: 757,106,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,746,987 : 340,067,203 = 340,067,203 : x
  2. Step 2: Convert to fraction form
    152,746,987/340,067,203 = 340,067,203/x
  3. Step 3: Cross multiply
    152,746,987x = 340,067,203 × 340,067,203
  4. Step 4: Simplify right side
    152,746,987x = 115,645,702,556,243,216
  5. Step 5: Solve for x
    x = 115,645,702,556,243,216/152,746,987
  6. Step 6: Final answer
    x = 757,106,276.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.