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Finding the Third Proportional to 125,297,836 and 269,104,252

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Solution

The third proportional to 125,297,836 and 269,104,252 is: 577,959,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,297,836 : 269,104,252 = 269,104,252 : x
  2. Step 2: Convert to fraction form
    125,297,836/269,104,252 = 269,104,252/x
  3. Step 3: Cross multiply
    125,297,836x = 269,104,252 × 269,104,252
  4. Step 4: Simplify right side
    125,297,836x = 72,417,098,444,479,504
  5. Step 5: Solve for x
    x = 72,417,098,444,479,504/125,297,836
  6. Step 6: Final answer
    x = 577,959,689.94

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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.