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Finding the Third Proportional to 193,514,068 and 417,812,456

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Solution

The third proportional to 193,514,068 and 417,812,456 is: 902,090,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514,068 : 417,812,456 = 417,812,456 : x
  2. Step 2: Convert to fraction form
    193,514,068/417,812,456 = 417,812,456/x
  3. Step 3: Cross multiply
    193,514,068x = 417,812,456 × 417,812,456
  4. Step 4: Simplify right side
    193,514,068x = 174,567,248,388,751,936
  5. Step 5: Solve for x
    x = 174,567,248,388,751,936/193,514,068
  6. Step 6: Final answer
    x = 902,090,737.86

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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.