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Finding the Third Proportional to 193,514,074 and 417,812,468

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Solution

The third proportional to 193,514,074 and 417,812,468 is: 902,090,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514,074 : 417,812,468 = 417,812,468 : x
  2. Step 2: Convert to fraction form
    193,514,074/417,812,468 = 417,812,468/x
  3. Step 3: Cross multiply
    193,514,074x = 417,812,468 × 417,812,468
  4. Step 4: Simplify right side
    193,514,074x = 174,567,258,416,251,008
  5. Step 5: Solve for x
    x = 174,567,258,416,251,008/193,514,074
  6. Step 6: Final answer
    x = 902,090,761.71

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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.