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Finding the Third Proportional to 46,363 and 100,117

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Solution

The third proportional to 46,363 and 100,117 is: 216,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,363 : 100,117 = 100,117 : x
  2. Step 2: Convert to fraction form
    46,363/100,117 = 100,117/x
  3. Step 3: Cross multiply
    46,363x = 100,117 × 100,117
  4. Step 4: Simplify right side
    46,363x = 10,023,413,689
  5. Step 5: Solve for x
    x = 10,023,413,689/46,363
  6. Step 6: Final answer
    x = 216,194.24

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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.