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Finding the Third Proportional to 135,012,754.13 and 294,556,786.88

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Solution

The third proportional to 135,012,754.13 and 294,556,786.88 is: 642,633,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012,754.13 : 294,556,786.88 = 294,556,786.88 : x
  2. Step 2: Convert to fraction form
    135,012,754.13/294,556,786.88 = 294,556,786.88/x
  3. Step 3: Cross multiply
    135,012,754.13x = 294,556,786.88 × 294,556,786.88
  4. Step 4: Simplify right side
    135,012,754.13x = 86,763,700,694,124,176
  5. Step 5: Solve for x
    x = 86,763,700,694,124,176/135,012,754.13
  6. Step 6: Final answer
    x = 642,633,366.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.