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Finding the Third Proportional to 44,322.75 and 96,029.88

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Solution

The third proportional to 44,322.75 and 96,029.88 is: 208,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,322.75 : 96,029.88 = 96,029.88 : x
  2. Step 2: Convert to fraction form
    44,322.75/96,029.88 = 96,029.88/x
  3. Step 3: Cross multiply
    44,322.75x = 96,029.88 × 96,029.88
  4. Step 4: Simplify right side
    44,322.75x = 9,221,736,892.52
  5. Step 5: Solve for x
    x = 9,221,736,892.52/44,322.75
  6. Step 6: Final answer
    x = 208,058.77

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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.