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Finding the Third Proportional to 44,313.75 and 97,237.13

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Solution

The third proportional to 44,313.75 and 97,237.13 is: 213,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,313.75 : 97,237.13 = 97,237.13 : x
  2. Step 2: Convert to fraction form
    44,313.75/97,237.13 = 97,237.13/x
  3. Step 3: Cross multiply
    44,313.75x = 97,237.13 × 97,237.13
  4. Step 4: Simplify right side
    44,313.75x = 9,455,058,478.27
  5. Step 5: Solve for x
    x = 9,455,058,478.27/44,313.75
  6. Step 6: Final answer
    x = 213,366.25

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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.