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Finding the Third Proportional to 44,483 and 96,710

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Solution

The third proportional to 44,483 and 96,710 is: 210,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,483 : 96,710 = 96,710 : x
  2. Step 2: Convert to fraction form
    44,483/96,710 = 96,710/x
  3. Step 3: Cross multiply
    44,483x = 96,710 × 96,710
  4. Step 4: Simplify right side
    44,483x = 9,352,824,100
  5. Step 5: Solve for x
    x = 9,352,824,100/44,483
  6. Step 6: Final answer
    x = 210,256.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.