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Finding the Third Proportional to 101,213 and 216,440

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Solution

The third proportional to 101,213 and 216,440 is: 462,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,213 : 216,440 = 216,440 : x
  2. Step 2: Convert to fraction form
    101,213/216,440 = 216,440/x
  3. Step 3: Cross multiply
    101,213x = 216,440 × 216,440
  4. Step 4: Simplify right side
    101,213x = 46,846,273,600
  5. Step 5: Solve for x
    x = 46,846,273,600/101,213
  6. Step 6: Final answer
    x = 462,848.39

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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.