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Finding the Third Proportional to 147,538,725.75 and 317,783,958.75

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Solution

The third proportional to 147,538,725.75 and 317,783,958.75 is: 684,475,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,538,725.75 : 317,783,958.75 = 317,783,958.75 : x
  2. Step 2: Convert to fraction form
    147,538,725.75/317,783,958.75 = 317,783,958.75/x
  3. Step 3: Cross multiply
    147,538,725.75x = 317,783,958.75 × 317,783,958.75
  4. Step 4: Simplify right side
    147,538,725.75x = 100,986,644,438,821,696
  5. Step 5: Solve for x
    x = 100,986,644,438,821,696/147,538,725.75
  6. Step 6: Final answer
    x = 684,475,509.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.