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Finding the Third Proportional to 97,117.50 and 211,326

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Solution

The third proportional to 97,117.50 and 211,326 is: 459,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,117.50 : 211,326 = 211,326 : x
  2. Step 2: Convert to fraction form
    97,117.50/211,326 = 211,326/x
  3. Step 3: Cross multiply
    97,117.50x = 211,326 × 211,326
  4. Step 4: Simplify right side
    97,117.50x = 44,658,678,276
  5. Step 5: Solve for x
    x = 44,658,678,276/97,117.50
  6. Step 6: Final answer
    x = 459,841.72

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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.