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Finding the Third Proportional to 45,169.50 and 97,277.63

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Solution

The third proportional to 45,169.50 and 97,277.63 is: 209,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,169.50 : 97,277.63 = 97,277.63 : x
  2. Step 2: Convert to fraction form
    45,169.50/97,277.63 = 97,277.63/x
  3. Step 3: Cross multiply
    45,169.50x = 97,277.63 × 97,277.63
  4. Step 4: Simplify right side
    45,169.50x = 9,462,936,325.64
  5. Step 5: Solve for x
    x = 9,462,936,325.64/45,169.50
  6. Step 6: Final answer
    x = 209,498.36

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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.