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Finding the Third Proportional to 269,552,268 and 385,196,436

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Solution

The third proportional to 269,552,268 and 385,196,436 is: 550,454,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,552,268 : 385,196,436 = 385,196,436 : x
  2. Step 2: Convert to fraction form
    269,552,268/385,196,436 = 385,196,436/x
  3. Step 3: Cross multiply
    269,552,268x = 385,196,436 × 385,196,436
  4. Step 4: Simplify right side
    269,552,268x = 148,376,294,307,102,080
  5. Step 5: Solve for x
    x = 148,376,294,307,102,080/269,552,268
  6. Step 6: Final answer
    x = 550,454,631.33

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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.