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Finding the Third Proportional to 46,319 and 99,660

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Solution

The third proportional to 46,319 and 99,660 is: 214,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,319 : 99,660 = 99,660 : x
  2. Step 2: Convert to fraction form
    46,319/99,660 = 99,660/x
  3. Step 3: Cross multiply
    46,319x = 99,660 × 99,660
  4. Step 4: Simplify right side
    46,319x = 9,932,115,600
  5. Step 5: Solve for x
    x = 9,932,115,600/46,319
  6. Step 6: Final answer
    x = 214,428.54

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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.