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Finding the Third Proportional to 94,095.84 and 206,798.06

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Solution

The third proportional to 94,095.84 and 206,798.06 is: 454,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,095.84 : 206,798.06 = 206,798.06 : x
  2. Step 2: Convert to fraction form
    94,095.84/206,798.06 = 206,798.06/x
  3. Step 3: Cross multiply
    94,095.84x = 206,798.06 × 206,798.06
  4. Step 4: Simplify right side
    94,095.84x = 42,765,438,653.75
  5. Step 5: Solve for x
    x = 42,765,438,653.75/94,095.84
  6. Step 6: Final answer
    x = 454,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.