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Finding the Third Proportional to 90,490 and 197,042

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Solution

The third proportional to 90,490 and 197,042 is: 429,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,490 : 197,042 = 197,042 : x
  2. Step 2: Convert to fraction form
    90,490/197,042 = 197,042/x
  3. Step 3: Cross multiply
    90,490x = 197,042 × 197,042
  4. Step 4: Simplify right side
    90,490x = 38,825,549,764
  5. Step 5: Solve for x
    x = 38,825,549,764/90,490
  6. Step 6: Final answer
    x = 429,059.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.