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Finding the Third Proportional to 45,167.63 and 97,205.06

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Solution

The third proportional to 45,167.63 and 97,205.06 is: 209,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,167.63 : 97,205.06 = 97,205.06 : x
  2. Step 2: Convert to fraction form
    45,167.63/97,205.06 = 97,205.06/x
  3. Step 3: Cross multiply
    45,167.63x = 97,205.06 × 97,205.06
  4. Step 4: Simplify right side
    45,167.63x = 9,448,824,175.63
  5. Step 5: Solve for x
    x = 9,448,824,175.63/45,167.63
  6. Step 6: Final answer
    x = 209,194.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.