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Finding the Third Proportional to 95,269.05 and 207,145.63

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Solution

The third proportional to 95,269.05 and 207,145.63 is: 450,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,269.05 : 207,145.63 = 207,145.63 : x
  2. Step 2: Convert to fraction form
    95,269.05/207,145.63 = 207,145.63/x
  3. Step 3: Cross multiply
    95,269.05x = 207,145.63 × 207,145.63
  4. Step 4: Simplify right side
    95,269.05x = 42,909,314,002.45
  5. Step 5: Solve for x
    x = 42,909,314,002.45/95,269.05
  6. Step 6: Final answer
    x = 450,401.40

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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.