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Finding the Third Proportional to 45,987.75 and 96,967.13

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Solution

The third proportional to 45,987.75 and 96,967.13 is: 204,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 96,967.13 = 96,967.13 : x
  2. Step 2: Convert to fraction form
    45,987.75/96,967.13 = 96,967.13/x
  3. Step 3: Cross multiply
    45,987.75x = 96,967.13 × 96,967.13
  4. Step 4: Simplify right side
    45,987.75x = 9,402,623,330.77
  5. Step 5: Solve for x
    x = 9,402,623,330.77/45,987.75
  6. Step 6: Final answer
    x = 204,459.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.