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Finding the Third Proportional to 97,019.25 and 212,074.13

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Solution

The third proportional to 97,019.25 and 212,074.13 is: 463,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,019.25 : 212,074.13 = 212,074.13 : x
  2. Step 2: Convert to fraction form
    97,019.25/212,074.13 = 212,074.13/x
  3. Step 3: Cross multiply
    97,019.25x = 212,074.13 × 212,074.13
  4. Step 4: Simplify right side
    97,019.25x = 44,975,434,494.52
  5. Step 5: Solve for x
    x = 44,975,434,494.52/97,019.25
  6. Step 6: Final answer
    x = 463,572.28

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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.