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Finding the Third Proportional to 97,298 and 211,118

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Solution

The third proportional to 97,298 and 211,118 is: 458,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,298 : 211,118 = 211,118 : x
  2. Step 2: Convert to fraction form
    97,298/211,118 = 211,118/x
  3. Step 3: Cross multiply
    97,298x = 211,118 × 211,118
  4. Step 4: Simplify right side
    97,298x = 44,570,809,924
  5. Step 5: Solve for x
    x = 44,570,809,924/97,298
  6. Step 6: Final answer
    x = 458,085.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.