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Finding the Third Proportional to 135,819,186.75 and 294,606,564.75

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Solution

The third proportional to 135,819,186.75 and 294,606,564.75 is: 639,033,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,819,186.75 : 294,606,564.75 = 294,606,564.75 : x
  2. Step 2: Convert to fraction form
    135,819,186.75/294,606,564.75 = 294,606,564.75/x
  3. Step 3: Cross multiply
    135,819,186.75x = 294,606,564.75 × 294,606,564.75
  4. Step 4: Simplify right side
    135,819,186.75x = 86,793,027,993,795,936
  5. Step 5: Solve for x
    x = 86,793,027,993,795,936/135,819,186.75
  6. Step 6: Final answer
    x = 639,033,630.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.