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Finding the Third Proportional to 46,564 and 97,690

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Solution

The third proportional to 46,564 and 97,690 is: 204,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564 : 97,690 = 97,690 : x
  2. Step 2: Convert to fraction form
    46,564/97,690 = 97,690/x
  3. Step 3: Cross multiply
    46,564x = 97,690 × 97,690
  4. Step 4: Simplify right side
    46,564x = 9,543,336,100
  5. Step 5: Solve for x
    x = 9,543,336,100/46,564
  6. Step 6: Final answer
    x = 204,950.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.