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Finding the Third Proportional to 97,116 and 211,323

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Solution

The third proportional to 97,116 and 211,323 is: 459,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116 : 211,323 = 211,323 : x
  2. Step 2: Convert to fraction form
    97,116/211,323 = 211,323/x
  3. Step 3: Cross multiply
    97,116x = 211,323 × 211,323
  4. Step 4: Simplify right side
    97,116x = 44,657,410,329
  5. Step 5: Solve for x
    x = 44,657,410,329/97,116
  6. Step 6: Final answer
    x = 459,835.77

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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.