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Finding the Third Proportional to 44,798 and 97,804

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Solution

The third proportional to 44,798 and 97,804 is: 213,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,798 : 97,804 = 97,804 : x
  2. Step 2: Convert to fraction form
    44,798/97,804 = 97,804/x
  3. Step 3: Cross multiply
    44,798x = 97,804 × 97,804
  4. Step 4: Simplify right side
    44,798x = 9,565,622,416
  5. Step 5: Solve for x
    x = 9,565,622,416/44,798
  6. Step 6: Final answer
    x = 213,527.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.