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Finding the Third Proportional to 193,514,073 and 417,812,466

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Solution

The third proportional to 193,514,073 and 417,812,466 is: 902,090,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514,073 : 417,812,466 = 417,812,466 : x
  2. Step 2: Convert to fraction form
    193,514,073/417,812,466 = 417,812,466/x
  3. Step 3: Cross multiply
    193,514,073x = 417,812,466 × 417,812,466
  4. Step 4: Simplify right side
    193,514,073x = 174,567,256,745,001,152
  5. Step 5: Solve for x
    x = 174,567,256,745,001,152/193,514,073
  6. Step 6: Final answer
    x = 902,090,757.74

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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.