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Finding the Third Proportional to 97,028 and 212,090

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Solution

The third proportional to 97,028 and 212,090 is: 463,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,028 : 212,090 = 212,090 : x
  2. Step 2: Convert to fraction form
    97,028/212,090 = 212,090/x
  3. Step 3: Cross multiply
    97,028x = 212,090 × 212,090
  4. Step 4: Simplify right side
    97,028x = 44,982,168,100
  5. Step 5: Solve for x
    x = 44,982,168,100/97,028
  6. Step 6: Final answer
    x = 463,599.87

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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.