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Finding the Third Proportional to 97,146 and 212,301

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Solution

The third proportional to 97,146 and 212,301 is: 463,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146 : 212,301 = 212,301 : x
  2. Step 2: Convert to fraction form
    97,146/212,301 = 212,301/x
  3. Step 3: Cross multiply
    97,146x = 212,301 × 212,301
  4. Step 4: Simplify right side
    97,146x = 45,071,714,601
  5. Step 5: Solve for x
    x = 45,071,714,601/97,146
  6. Step 6: Final answer
    x = 463,958.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.