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Finding the Third Proportional to 101,316 and 219,804

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Solution

The third proportional to 101,316 and 219,804 is: 476,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 219,804 = 219,804 : x
  2. Step 2: Convert to fraction form
    101,316/219,804 = 219,804/x
  3. Step 3: Cross multiply
    101,316x = 219,804 × 219,804
  4. Step 4: Simplify right side
    101,316x = 48,313,798,416
  5. Step 5: Solve for x
    x = 48,313,798,416/101,316
  6. Step 6: Final answer
    x = 476,862.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.