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Finding the Third Proportional to 102,536,749 and 146,522,584

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Solution

The third proportional to 102,536,749 and 146,522,584 is: 209,377,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536,749 : 146,522,584 = 146,522,584 : x
  2. Step 2: Convert to fraction form
    102,536,749/146,522,584 = 146,522,584/x
  3. Step 3: Cross multiply
    102,536,749x = 146,522,584 × 146,522,584
  4. Step 4: Simplify right side
    102,536,749x = 21,468,867,622,037,056
  5. Step 5: Solve for x
    x = 21,468,867,622,037,056/102,536,749
  6. Step 6: Final answer
    x = 209,377,299.66

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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.