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Finding the Third Proportional to 90,066 and 197,428

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Solution

The third proportional to 90,066 and 197,428 is: 432,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,066 : 197,428 = 197,428 : x
  2. Step 2: Convert to fraction form
    90,066/197,428 = 197,428/x
  3. Step 3: Cross multiply
    90,066x = 197,428 × 197,428
  4. Step 4: Simplify right side
    90,066x = 38,977,815,184
  5. Step 5: Solve for x
    x = 38,977,815,184/90,066
  6. Step 6: Final answer
    x = 432,769.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.