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Finding the Third Proportional to 92,957.63 and 200,404.13

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Solution

The third proportional to 92,957.63 and 200,404.13 is: 432,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,957.63 : 200,404.13 = 200,404.13 : x
  2. Step 2: Convert to fraction form
    92,957.63/200,404.13 = 200,404.13/x
  3. Step 3: Cross multiply
    92,957.63x = 200,404.13 × 200,404.13
  4. Step 4: Simplify right side
    92,957.63x = 40,161,813,317.02
  5. Step 5: Solve for x
    x = 40,161,813,317.02/92,957.63
  6. Step 6: Final answer
    x = 432,044.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.