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Finding the Third Proportional to 90,929.88 and 197,598.66

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Solution

The third proportional to 90,929.88 and 197,598.66 is: 429,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,929.88 : 197,598.66 = 197,598.66 : x
  2. Step 2: Convert to fraction form
    90,929.88/197,598.66 = 197,598.66/x
  3. Step 3: Cross multiply
    90,929.88x = 197,598.66 × 197,598.66
  4. Step 4: Simplify right side
    90,929.88x = 39,045,228,951.81
  5. Step 5: Solve for x
    x = 39,045,228,951.81/90,929.88
  6. Step 6: Final answer
    x = 429,399.31

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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.