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Finding the Third Proportional to 44,463 and 96,307.50

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Solution

The third proportional to 44,463 and 96,307.50 is: 208,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,463 : 96,307.50 = 96,307.50 : x
  2. Step 2: Convert to fraction form
    44,463/96,307.50 = 96,307.50/x
  3. Step 3: Cross multiply
    44,463x = 96,307.50 × 96,307.50
  4. Step 4: Simplify right side
    44,463x = 9,275,134,556.25
  5. Step 5: Solve for x
    x = 9,275,134,556.25/44,463
  6. Step 6: Final answer
    x = 208,603.44

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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.