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Finding the Third Proportional to 102,269,868 and 218,898,483

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Solution

The third proportional to 102,269,868 and 218,898,483 is: 468,530,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269,868 : 218,898,483 = 218,898,483 : x
  2. Step 2: Convert to fraction form
    102,269,868/218,898,483 = 218,898,483/x
  3. Step 3: Cross multiply
    102,269,868x = 218,898,483 × 218,898,483
  4. Step 4: Simplify right side
    102,269,868x = 47,916,545,859,701,288
  5. Step 5: Solve for x
    x = 47,916,545,859,701,288/102,269,868
  6. Step 6: Final answer
    x = 468,530,436.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.