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Finding the Third Proportional to 191,642.63 and 403,147.13

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Solution

The third proportional to 191,642.63 and 403,147.13 is: 848,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642.63 : 403,147.13 = 403,147.13 : x
  2. Step 2: Convert to fraction form
    191,642.63/403,147.13 = 403,147.13/x
  3. Step 3: Cross multiply
    191,642.63x = 403,147.13 × 403,147.13
  4. Step 4: Simplify right side
    191,642.63x = 162,527,604,395.77
  5. Step 5: Solve for x
    x = 162,527,604,395.77/191,642.63
  6. Step 6: Final answer
    x = 848,076.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.