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Finding the Third Proportional to 150,240,854.25 and 326,178,758.25

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Solution

The third proportional to 150,240,854.25 and 326,178,758.25 is: 708,146,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,240,854.25 : 326,178,758.25 = 326,178,758.25 : x
  2. Step 2: Convert to fraction form
    150,240,854.25/326,178,758.25 = 326,178,758.25/x
  3. Step 3: Cross multiply
    150,240,854.25x = 326,178,758.25 × 326,178,758.25
  4. Step 4: Simplify right side
    150,240,854.25x = 106,392,582,333,511,936
  5. Step 5: Solve for x
    x = 106,392,582,333,511,936/150,240,854.25
  6. Step 6: Final answer
    x = 708,146,814.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.