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Finding the Third Proportional to 46,385 and 101,646

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Solution

The third proportional to 46,385 and 101,646 is: 222,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,385 : 101,646 = 101,646 : x
  2. Step 2: Convert to fraction form
    46,385/101,646 = 101,646/x
  3. Step 3: Cross multiply
    46,385x = 101,646 × 101,646
  4. Step 4: Simplify right side
    46,385x = 10,331,909,316
  5. Step 5: Solve for x
    x = 10,331,909,316/46,385
  6. Step 6: Final answer
    x = 222,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.