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Finding the Third Proportional to 269,551,400 and 385,195,222

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Solution

The third proportional to 269,551,400 and 385,195,222 is: 550,452,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,551,400 : 385,195,222 = 385,195,222 : x
  2. Step 2: Convert to fraction form
    269,551,400/385,195,222 = 385,195,222/x
  3. Step 3: Cross multiply
    269,551,400x = 385,195,222 × 385,195,222
  4. Step 4: Simplify right side
    269,551,400x = 148,375,359,051,629,280
  5. Step 5: Solve for x
    x = 148,375,359,051,629,280/269,551,400
  6. Step 6: Final answer
    x = 550,452,934.21

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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.