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Finding the Third Proportional to 45,294.19 and 98,368.17

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Solution

The third proportional to 45,294.19 and 98,368.17 is: 213,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294.19 : 98,368.17 = 98,368.17 : x
  2. Step 2: Convert to fraction form
    45,294.19/98,368.17 = 98,368.17/x
  3. Step 3: Cross multiply
    45,294.19x = 98,368.17 × 98,368.17
  4. Step 4: Simplify right side
    45,294.19x = 9,676,297,238.03
  5. Step 5: Solve for x
    x = 9,676,297,238.03/45,294.19
  6. Step 6: Final answer
    x = 213,632.21

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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.