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Finding the Third Proportional to 135,139,121.63 and 295,049,293.88

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Solution

The third proportional to 135,139,121.63 and 295,049,293.88 is: 644,181,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,121.63 : 295,049,293.88 = 295,049,293.88 : x
  2. Step 2: Convert to fraction form
    135,139,121.63/295,049,293.88 = 295,049,293.88/x
  3. Step 3: Cross multiply
    135,139,121.63x = 295,049,293.88 × 295,049,293.88
  4. Step 4: Simplify right side
    135,139,121.63x = 87,054,085,816,136,112
  5. Step 5: Solve for x
    x = 87,054,085,816,136,112/135,139,121.63
  6. Step 6: Final answer
    x = 644,181,231.68

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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.