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Finding the Third Proportional to 125,012,322 and 269,225,496

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Solution

The third proportional to 125,012,322 and 269,225,496 is: 579,801,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,012,322 : 269,225,496 = 269,225,496 : x
  2. Step 2: Convert to fraction form
    125,012,322/269,225,496 = 269,225,496/x
  3. Step 3: Cross multiply
    125,012,322x = 269,225,496 × 269,225,496
  4. Step 4: Simplify right side
    125,012,322x = 72,482,367,696,446,016
  5. Step 5: Solve for x
    x = 72,482,367,696,446,016/125,012,322
  6. Step 6: Final answer
    x = 579,801,787.03

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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.