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Finding the Third Proportional to 251,784,965.25 and 541,833,684.75

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Solution

The third proportional to 251,784,965.25 and 541,833,684.75 is: 1,166,009,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,784,965.25 : 541,833,684.75 = 541,833,684.75 : x
  2. Step 2: Convert to fraction form
    251,784,965.25/541,833,684.75 = 541,833,684.75/x
  3. Step 3: Cross multiply
    251,784,965.25x = 541,833,684.75 × 541,833,684.75
  4. Step 4: Simplify right side
    251,784,965.25x = 293,583,741,929,762,368
  5. Step 5: Solve for x
    x = 293,583,741,929,762,368/251,784,965.25
  6. Step 6: Final answer
    x = 1,166,009,819.68

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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.