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Finding the Third Proportional to 191,323.13 and 417,092.63

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Solution

The third proportional to 191,323.13 and 417,092.63 is: 909,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,323.13 : 417,092.63 = 417,092.63 : x
  2. Step 2: Convert to fraction form
    191,323.13/417,092.63 = 417,092.63/x
  3. Step 3: Cross multiply
    191,323.13x = 417,092.63 × 417,092.63
  4. Step 4: Simplify right side
    191,323.13x = 173,966,257,829.39
  5. Step 5: Solve for x
    x = 173,966,257,829.39/191,323.13
  6. Step 6: Final answer
    x = 909,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.