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Finding the Third Proportional to 90,302.63 and 197,733.38

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Solution

The third proportional to 90,302.63 and 197,733.38 is: 432,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,302.63 : 197,733.38 = 197,733.38 : x
  2. Step 2: Convert to fraction form
    90,302.63/197,733.38 = 197,733.38/x
  3. Step 3: Cross multiply
    90,302.63x = 197,733.38 × 197,733.38
  4. Step 4: Simplify right side
    90,302.63x = 39,098,487,588.89
  5. Step 5: Solve for x
    x = 39,098,487,588.89/90,302.63
  6. Step 6: Final answer
    x = 432,971.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.