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Finding the Third Proportional to 97,480 and 212,588

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Solution

The third proportional to 97,480 and 212,588 is: 463,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,480 : 212,588 = 212,588 : x
  2. Step 2: Convert to fraction form
    97,480/212,588 = 212,588/x
  3. Step 3: Cross multiply
    97,480x = 212,588 × 212,588
  4. Step 4: Simplify right side
    97,480x = 45,193,657,744
  5. Step 5: Solve for x
    x = 45,193,657,744/97,480
  6. Step 6: Final answer
    x = 463,619.80

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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.