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Finding the Third Proportional to 97,232 and 212,032

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Solution

The third proportional to 97,232 and 212,032 is: 462,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232 : 212,032 = 212,032 : x
  2. Step 2: Convert to fraction form
    97,232/212,032 = 212,032/x
  3. Step 3: Cross multiply
    97,232x = 212,032 × 212,032
  4. Step 4: Simplify right side
    97,232x = 44,957,569,024
  5. Step 5: Solve for x
    x = 44,957,569,024/97,232
  6. Step 6: Final answer
    x = 462,374.21

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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.