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Finding the Third Proportional to 97,476 and 212,580

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Solution

The third proportional to 97,476 and 212,580 is: 463,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,476 : 212,580 = 212,580 : x
  2. Step 2: Convert to fraction form
    97,476/212,580 = 212,580/x
  3. Step 3: Cross multiply
    97,476x = 212,580 × 212,580
  4. Step 4: Simplify right side
    97,476x = 45,190,256,400
  5. Step 5: Solve for x
    x = 45,190,256,400/97,476
  6. Step 6: Final answer
    x = 463,603.93

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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.