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Finding the Third Proportional to 188,964,743.06 and 293,396,065.31

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Solution

The third proportional to 188,964,743.06 and 293,396,065.31 is: 455,541,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,964,743.06 : 293,396,065.31 = 293,396,065.31 : x
  2. Step 2: Convert to fraction form
    188,964,743.06/293,396,065.31 = 293,396,065.31/x
  3. Step 3: Cross multiply
    188,964,743.06x = 293,396,065.31 × 293,396,065.31
  4. Step 4: Simplify right side
    188,964,743.06x = 86,081,251,140,856,768
  5. Step 5: Solve for x
    x = 86,081,251,140,856,768/188,964,743.06
  6. Step 6: Final answer
    x = 455,541,334.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.