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Finding the Third Proportional to 125,012,340 and 269,225,532

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Solution

The third proportional to 125,012,340 and 269,225,532 is: 579,801,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,012,340 : 269,225,532 = 269,225,532 : x
  2. Step 2: Convert to fraction form
    125,012,340/269,225,532 = 269,225,532/x
  3. Step 3: Cross multiply
    125,012,340x = 269,225,532 × 269,225,532
  4. Step 4: Simplify right side
    125,012,340x = 72,482,387,080,683,024
  5. Step 5: Solve for x
    x = 72,482,387,080,683,024/125,012,340
  6. Step 6: Final answer
    x = 579,801,858.61

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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.