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Finding the Third Proportional to 46,357 and 99,702

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Solution

The third proportional to 46,357 and 99,702 is: 214,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357 : 99,702 = 99,702 : x
  2. Step 2: Convert to fraction form
    46,357/99,702 = 99,702/x
  3. Step 3: Cross multiply
    46,357x = 99,702 × 99,702
  4. Step 4: Simplify right side
    46,357x = 9,940,488,804
  5. Step 5: Solve for x
    x = 9,940,488,804/46,357
  6. Step 6: Final answer
    x = 214,433.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.