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Finding the Third Proportional to 208,505,490 and 282,856,596

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Solution

The third proportional to 208,505,490 and 282,856,596 is: 383,720,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505,490 : 282,856,596 = 282,856,596 : x
  2. Step 2: Convert to fraction form
    208,505,490/282,856,596 = 282,856,596/x
  3. Step 3: Cross multiply
    208,505,490x = 282,856,596 × 282,856,596
  4. Step 4: Simplify right side
    208,505,490x = 80,007,853,900,707,216
  5. Step 5: Solve for x
    x = 80,007,853,900,707,216/208,505,490
  6. Step 6: Final answer
    x = 383,720,610.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.