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Finding the Third Proportional to 97,630.31 and 211,541.63

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Solution

The third proportional to 97,630.31 and 211,541.63 is: 458,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,630.31 : 211,541.63 = 211,541.63 : x
  2. Step 2: Convert to fraction form
    97,630.31/211,541.63 = 211,541.63/x
  3. Step 3: Cross multiply
    97,630.31x = 211,541.63 × 211,541.63
  4. Step 4: Simplify right side
    97,630.31x = 44,749,859,107.64
  5. Step 5: Solve for x
    x = 44,749,859,107.64/97,630.31
  6. Step 6: Final answer
    x = 458,360.30

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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.