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Finding the Third Proportional to 193,514,052 and 417,812,424

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Solution

The third proportional to 193,514,052 and 417,812,424 is: 902,090,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514,052 : 417,812,424 = 417,812,424 : x
  2. Step 2: Convert to fraction form
    193,514,052/417,812,424 = 417,812,424/x
  3. Step 3: Cross multiply
    193,514,052x = 417,812,424 × 417,812,424
  4. Step 4: Simplify right side
    193,514,052x = 174,567,221,648,755,776
  5. Step 5: Solve for x
    x = 174,567,221,648,755,776/193,514,052
  6. Step 6: Final answer
    x = 902,090,674.27

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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.