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Finding the Third Proportional to 97,502.63 and 211,650.75

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Solution

The third proportional to 97,502.63 and 211,650.75 is: 459,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502.63 : 211,650.75 = 211,650.75 : x
  2. Step 2: Convert to fraction form
    97,502.63/211,650.75 = 211,650.75/x
  3. Step 3: Cross multiply
    97,502.63x = 211,650.75 × 211,650.75
  4. Step 4: Simplify right side
    97,502.63x = 44,796,039,975.56
  5. Step 5: Solve for x
    x = 44,796,039,975.56/97,502.63
  6. Step 6: Final answer
    x = 459,434.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.