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Finding the Third Proportional to 97,716 and 212,989

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Solution

The third proportional to 97,716 and 212,989 is: 464,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716 : 212,989 = 212,989 : x
  2. Step 2: Convert to fraction form
    97,716/212,989 = 212,989/x
  3. Step 3: Cross multiply
    97,716x = 212,989 × 212,989
  4. Step 4: Simplify right side
    97,716x = 45,364,314,121
  5. Step 5: Solve for x
    x = 45,364,314,121/97,716
  6. Step 6: Final answer
    x = 464,246.53

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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.