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Finding the Third Proportional to 97,029 and 212,091

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Solution

The third proportional to 97,029 and 212,091 is: 463,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,029 : 212,091 = 212,091 : x
  2. Step 2: Convert to fraction form
    97,029/212,091 = 212,091/x
  3. Step 3: Cross multiply
    97,029x = 212,091 × 212,091
  4. Step 4: Simplify right side
    97,029x = 44,982,592,281
  5. Step 5: Solve for x
    x = 44,982,592,281/97,029
  6. Step 6: Final answer
    x = 463,599.46

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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.