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Finding the Third Proportional to 44,605.69 and 96,174.84

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Solution

The third proportional to 44,605.69 and 96,174.84 is: 207,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,605.69 : 96,174.84 = 96,174.84 : x
  2. Step 2: Convert to fraction form
    44,605.69/96,174.84 = 96,174.84/x
  3. Step 3: Cross multiply
    44,605.69x = 96,174.84 × 96,174.84
  4. Step 4: Simplify right side
    44,605.69x = 9,249,600,570.34
  5. Step 5: Solve for x
    x = 9,249,600,570.34/44,605.69
  6. Step 6: Final answer
    x = 207,363.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.