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Finding the Third Proportional to 119,801,078 and 171,198,513

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Solution

The third proportional to 119,801,078 and 171,198,513 is: 244,646,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,801,078 : 171,198,513 = 171,198,513 : x
  2. Step 2: Convert to fraction form
    119,801,078/171,198,513 = 171,198,513/x
  3. Step 3: Cross multiply
    119,801,078x = 171,198,513 × 171,198,513
  4. Step 4: Simplify right side
    119,801,078x = 29,308,930,853,411,168
  5. Step 5: Solve for x
    x = 29,308,930,853,411,168/119,801,078
  6. Step 6: Final answer
    x = 244,646,637.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.