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Finding the Third Proportional to 46,610 and 100,636

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Solution

The third proportional to 46,610 and 100,636 is: 217,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,610 : 100,636 = 100,636 : x
  2. Step 2: Convert to fraction form
    46,610/100,636 = 100,636/x
  3. Step 3: Cross multiply
    46,610x = 100,636 × 100,636
  4. Step 4: Simplify right side
    46,610x = 10,127,604,496
  5. Step 5: Solve for x
    x = 10,127,604,496/46,610
  6. Step 6: Final answer
    x = 217,283.94

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