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Finding the Third Proportional to 97,699 and 212,955

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Solution

The third proportional to 97,699 and 212,955 is: 464,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,699 : 212,955 = 212,955 : x
  2. Step 2: Convert to fraction form
    97,699/212,955 = 212,955/x
  3. Step 3: Cross multiply
    97,699x = 212,955 × 212,955
  4. Step 4: Simplify right side
    97,699x = 45,349,832,025
  5. Step 5: Solve for x
    x = 45,349,832,025/97,699
  6. Step 6: Final answer
    x = 464,179.08

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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.