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Finding the Third Proportional to 269,551,569 and 385,195,476

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Solution

The third proportional to 269,551,569 and 385,195,476 is: 550,453,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,551,569 : 385,195,476 = 385,195,476 : x
  2. Step 2: Convert to fraction form
    269,551,569/385,195,476 = 385,195,476/x
  3. Step 3: Cross multiply
    269,551,569x = 385,195,476 × 385,195,476
  4. Step 4: Simplify right side
    269,551,569x = 148,375,554,730,866,560
  5. Step 5: Solve for x
    x = 148,375,554,730,866,560/269,551,569
  6. Step 6: Final answer
    x = 550,453,315.04

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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.