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Finding the Third Proportional to 269,561,988 and 385,211,105

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Solution

The third proportional to 269,561,988 and 385,211,105 is: 550,476,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,561,988 : 385,211,105 = 385,211,105 : x
  2. Step 2: Convert to fraction form
    269,561,988/385,211,105 = 385,211,105/x
  3. Step 3: Cross multiply
    269,561,988x = 385,211,105 × 385,211,105
  4. Step 4: Simplify right side
    269,561,988x = 148,387,595,415,321,024
  5. Step 5: Solve for x
    x = 148,387,595,415,321,024/269,561,988
  6. Step 6: Final answer
    x = 550,476,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.