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Finding the Third Proportional to 46,178 and 99,646

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Solution

The third proportional to 46,178 and 99,646 is: 215,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178 : 99,646 = 99,646 : x
  2. Step 2: Convert to fraction form
    46,178/99,646 = 99,646/x
  3. Step 3: Cross multiply
    46,178x = 99,646 × 99,646
  4. Step 4: Simplify right side
    46,178x = 9,929,325,316
  5. Step 5: Solve for x
    x = 9,929,325,316/46,178
  6. Step 6: Final answer
    x = 215,022.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.