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Finding the Third Proportional to 97,146 and 211,386

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Solution

The third proportional to 97,146 and 211,386 is: 459,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146 : 211,386 = 211,386 : x
  2. Step 2: Convert to fraction form
    97,146/211,386 = 211,386/x
  3. Step 3: Cross multiply
    97,146x = 211,386 × 211,386
  4. Step 4: Simplify right side
    97,146x = 44,684,040,996
  5. Step 5: Solve for x
    x = 44,684,040,996/97,146
  6. Step 6: Final answer
    x = 459,967.89

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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.