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Finding the Third Proportional to 44,699 and 97,933

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Solution

The third proportional to 44,699 and 97,933 is: 214,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,699 : 97,933 = 97,933 : x
  2. Step 2: Convert to fraction form
    44,699/97,933 = 97,933/x
  3. Step 3: Cross multiply
    44,699x = 97,933 × 97,933
  4. Step 4: Simplify right side
    44,699x = 9,590,872,489
  5. Step 5: Solve for x
    x = 9,590,872,489/44,699
  6. Step 6: Final answer
    x = 214,565.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.