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Finding the Third Proportional to 90,433.13 and 196,430.63

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Solution

The third proportional to 90,433.13 and 196,430.63 is: 426,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433.13 : 196,430.63 = 196,430.63 : x
  2. Step 2: Convert to fraction form
    90,433.13/196,430.63 = 196,430.63/x
  3. Step 3: Cross multiply
    90,433.13x = 196,430.63 × 196,430.63
  4. Step 4: Simplify right side
    90,433.13x = 38,584,990,437.89
  5. Step 5: Solve for x
    x = 38,584,990,437.89/90,433.13
  6. Step 6: Final answer
    x = 426,668.77

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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.