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Finding the Third Proportional to 97,055 and 213,658

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Solution

The third proportional to 97,055 and 213,658 is: 470,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055 : 213,658 = 213,658 : x
  2. Step 2: Convert to fraction form
    97,055/213,658 = 213,658/x
  3. Step 3: Cross multiply
    97,055x = 213,658 × 213,658
  4. Step 4: Simplify right side
    97,055x = 45,649,740,964
  5. Step 5: Solve for x
    x = 45,649,740,964/97,055
  6. Step 6: Final answer
    x = 470,349.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.