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Finding the Third Proportional to 201,913,826.25 and 439,204,807.75

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Solution

The third proportional to 201,913,826.25 and 439,204,807.75 is: 955,362,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913,826.25 : 439,204,807.75 = 439,204,807.75 : x
  2. Step 2: Convert to fraction form
    201,913,826.25/439,204,807.75 = 439,204,807.75/x
  3. Step 3: Cross multiply
    201,913,826.25x = 439,204,807.75 × 439,204,807.75
  4. Step 4: Simplify right side
    201,913,826.25x = 192,900,863,150,714,464
  5. Step 5: Solve for x
    x = 192,900,863,150,714,464/201,913,826.25
  6. Step 6: Final answer
    x = 955,362,328.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.