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Finding the Third Proportional to 94,938.50 and 224,111

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Solution

The third proportional to 94,938.50 and 224,111 is: 529,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,938.50 : 224,111 = 224,111 : x
  2. Step 2: Convert to fraction form
    94,938.50/224,111 = 224,111/x
  3. Step 3: Cross multiply
    94,938.50x = 224,111 × 224,111
  4. Step 4: Simplify right side
    94,938.50x = 50,225,740,321
  5. Step 5: Solve for x
    x = 50,225,740,321/94,938.50
  6. Step 6: Final answer
    x = 529,034.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.