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Finding the Third Proportional to 45,274.53 and 98,327.43

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Solution

The third proportional to 45,274.53 and 98,327.43 is: 213,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,274.53 : 98,327.43 = 98,327.43 : x
  2. Step 2: Convert to fraction form
    45,274.53/98,327.43 = 98,327.43/x
  3. Step 3: Cross multiply
    45,274.53x = 98,327.43 × 98,327.43
  4. Step 4: Simplify right side
    45,274.53x = 9,668,284,389.18
  5. Step 5: Solve for x
    x = 9,668,284,389.18/45,274.53
  6. Step 6: Final answer
    x = 213,547.98

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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.