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Finding the Third Proportional to 97,137 and 211,365

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Solution

The third proportional to 97,137 and 211,365 is: 459,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,137 : 211,365 = 211,365 : x
  2. Step 2: Convert to fraction form
    97,137/211,365 = 211,365/x
  3. Step 3: Cross multiply
    97,137x = 211,365 × 211,365
  4. Step 4: Simplify right side
    97,137x = 44,675,163,225
  5. Step 5: Solve for x
    x = 44,675,163,225/97,137
  6. Step 6: Final answer
    x = 459,919.12

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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.