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Finding the Third Proportional to 38,192.63 and 90,302.63

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Solution

The third proportional to 38,192.63 and 90,302.63 is: 213,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,192.63 : 90,302.63 = 90,302.63 : x
  2. Step 2: Convert to fraction form
    38,192.63/90,302.63 = 90,302.63/x
  3. Step 3: Cross multiply
    38,192.63x = 90,302.63 × 90,302.63
  4. Step 4: Simplify right side
    38,192.63x = 8,154,564,081.89
  5. Step 5: Solve for x
    x = 8,154,564,081.89/38,192.63
  6. Step 6: Final answer
    x = 213,511.49

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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.