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Finding the Third Proportional to 95,486.34 and 201,429.28

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Solution

The third proportional to 95,486.34 and 201,429.28 is: 424,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,486.34 : 201,429.28 = 201,429.28 : x
  2. Step 2: Convert to fraction form
    95,486.34/201,429.28 = 201,429.28/x
  3. Step 3: Cross multiply
    95,486.34x = 201,429.28 × 201,429.28
  4. Step 4: Simplify right side
    95,486.34x = 40,573,755,344.89
  5. Step 5: Solve for x
    x = 40,573,755,344.89/95,486.34
  6. Step 6: Final answer
    x = 424,916.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.