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Finding the Third Proportional to 97,053 and 213,654

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Solution

The third proportional to 97,053 and 213,654 is: 470,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,053 : 213,654 = 213,654 : x
  2. Step 2: Convert to fraction form
    97,053/213,654 = 213,654/x
  3. Step 3: Cross multiply
    97,053x = 213,654 × 213,654
  4. Step 4: Simplify right side
    97,053x = 45,648,031,716
  5. Step 5: Solve for x
    x = 45,648,031,716/97,053
  6. Step 6: Final answer
    x = 470,341.27

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