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Finding the Third Proportional to 90,070 and 195,998

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Solution

The third proportional to 90,070 and 195,998 is: 426,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,070 : 195,998 = 195,998 : x
  2. Step 2: Convert to fraction form
    90,070/195,998 = 195,998/x
  3. Step 3: Cross multiply
    90,070x = 195,998 × 195,998
  4. Step 4: Simplify right side
    90,070x = 38,415,216,004
  5. Step 5: Solve for x
    x = 38,415,216,004/90,070
  6. Step 6: Final answer
    x = 426,504.01

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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.