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Finding the Third Proportional to 97,594 and 213,044

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Solution

The third proportional to 97,594 and 213,044 is: 465,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594 : 213,044 = 213,044 : x
  2. Step 2: Convert to fraction form
    97,594/213,044 = 213,044/x
  3. Step 3: Cross multiply
    97,594x = 213,044 × 213,044
  4. Step 4: Simplify right side
    97,594x = 45,387,745,936
  5. Step 5: Solve for x
    x = 45,387,745,936/97,594
  6. Step 6: Final answer
    x = 465,066.97

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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.