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Finding the Third Proportional to 94,666.78 and 202,631.91

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Solution

The third proportional to 94,666.78 and 202,631.91 is: 433,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,666.78 : 202,631.91 = 202,631.91 : x
  2. Step 2: Convert to fraction form
    94,666.78/202,631.91 = 202,631.91/x
  3. Step 3: Cross multiply
    94,666.78x = 202,631.91 × 202,631.91
  4. Step 4: Simplify right side
    94,666.78x = 41,059,689,430.51
  5. Step 5: Solve for x
    x = 41,059,689,430.51/94,666.78
  6. Step 6: Final answer
    x = 433,728.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.