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Finding the Third Proportional to 150,322,034.50 and 314,388,535.50

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Solution

The third proportional to 150,322,034.50 and 314,388,535.50 is: 657,522,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322,034.50 : 314,388,535.50 = 314,388,535.50 : x
  2. Step 2: Convert to fraction form
    150,322,034.50/314,388,535.50 = 314,388,535.50/x
  3. Step 3: Cross multiply
    150,322,034.50x = 314,388,535.50 × 314,388,535.50
  4. Step 4: Simplify right side
    150,322,034.50x = 98,840,151,253,834,768
  5. Step 5: Solve for x
    x = 98,840,151,253,834,768/150,322,034.50
  6. Step 6: Final answer
    x = 657,522,708.38

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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.