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Finding the Third Proportional to 98,369.50 and 211,076

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Solution

The third proportional to 98,369.50 and 211,076 is: 452,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,369.50 : 211,076 = 211,076 : x
  2. Step 2: Convert to fraction form
    98,369.50/211,076 = 211,076/x
  3. Step 3: Cross multiply
    98,369.50x = 211,076 × 211,076
  4. Step 4: Simplify right side
    98,369.50x = 44,553,077,776
  5. Step 5: Solve for x
    x = 44,553,077,776/98,369.50
  6. Step 6: Final answer
    x = 452,915.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.