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Finding the Third Proportional to 150,322,214.81 and 314,388,767.81

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Solution

The third proportional to 150,322,214.81 and 314,388,767.81 is: 657,522,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322,214.81 : 314,388,767.81 = 314,388,767.81 : x
  2. Step 2: Convert to fraction form
    150,322,214.81/314,388,767.81 = 314,388,767.81/x
  3. Step 3: Cross multiply
    150,322,214.81x = 314,388,767.81 × 314,388,767.81
  4. Step 4: Simplify right side
    150,322,214.81x = 98,840,297,326,662,032
  5. Step 5: Solve for x
    x = 98,840,297,326,662,032/150,322,214.81
  6. Step 6: Final answer
    x = 657,522,891.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.