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Finding the Third Proportional to 191,627.33 and 403,117.07

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Solution

The third proportional to 191,627.33 and 403,117.07 is: 848,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,627.33 : 403,117.07 = 403,117.07 : x
  2. Step 2: Convert to fraction form
    191,627.33/403,117.07 = 403,117.07/x
  3. Step 3: Cross multiply
    191,627.33x = 403,117.07 × 403,117.07
  4. Step 4: Simplify right side
    191,627.33x = 162,503,369,227.98
  5. Step 5: Solve for x
    x = 162,503,369,227.98/191,627.33
  6. Step 6: Final answer
    x = 848,017.70

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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.