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Finding the Third Proportional to 74,185,204 and 159,339,784

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Solution

The third proportional to 74,185,204 and 159,339,784 is: 342,240,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,185,204 : 159,339,784 = 159,339,784 : x
  2. Step 2: Convert to fraction form
    74,185,204/159,339,784 = 159,339,784/x
  3. Step 3: Cross multiply
    74,185,204x = 159,339,784 × 159,339,784
  4. Step 4: Simplify right side
    74,185,204x = 25,389,166,765,166,656
  5. Step 5: Solve for x
    x = 25,389,166,765,166,656/74,185,204
  6. Step 6: Final answer
    x = 342,240,303.94

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Why These Related Problems?

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