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Finding the Third Proportional to 97,152 and 212,313

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Solution

The third proportional to 97,152 and 212,313 is: 463,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,152 : 212,313 = 212,313 : x
  2. Step 2: Convert to fraction form
    97,152/212,313 = 212,313/x
  3. Step 3: Cross multiply
    97,152x = 212,313 × 212,313
  4. Step 4: Simplify right side
    97,152x = 45,076,809,969
  5. Step 5: Solve for x
    x = 45,076,809,969/97,152
  6. Step 6: Final answer
    x = 463,982.32

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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.