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Finding the Third Proportional to 46,641 and 100,650

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Solution

The third proportional to 46,641 and 100,650 is: 217,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,641 : 100,650 = 100,650 : x
  2. Step 2: Convert to fraction form
    46,641/100,650 = 100,650/x
  3. Step 3: Cross multiply
    46,641x = 100,650 × 100,650
  4. Step 4: Simplify right side
    46,641x = 10,130,422,500
  5. Step 5: Solve for x
    x = 10,130,422,500/46,641
  6. Step 6: Final answer
    x = 217,199.94

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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.