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Finding the Third Proportional to 97,082 and 211,732

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Solution

The third proportional to 97,082 and 211,732 is: 461,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082 : 211,732 = 211,732 : x
  2. Step 2: Convert to fraction form
    97,082/211,732 = 211,732/x
  3. Step 3: Cross multiply
    97,082x = 211,732 × 211,732
  4. Step 4: Simplify right side
    97,082x = 44,830,439,824
  5. Step 5: Solve for x
    x = 44,830,439,824/97,082
  6. Step 6: Final answer
    x = 461,779.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.