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Finding the Third Proportional to 100,681 and 219,138

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Solution

The third proportional to 100,681 and 219,138 is: 476,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681 : 219,138 = 219,138 : x
  2. Step 2: Convert to fraction form
    100,681/219,138 = 219,138/x
  3. Step 3: Cross multiply
    100,681x = 219,138 × 219,138
  4. Step 4: Simplify right side
    100,681x = 48,021,463,044
  5. Step 5: Solve for x
    x = 48,021,463,044/100,681
  6. Step 6: Final answer
    x = 476,966.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.