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Finding the Third Proportional to 84,811,468 and 184,640,928

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Solution

The third proportional to 84,811,468 and 184,640,928 is: 401,977,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811,468 : 184,640,928 = 184,640,928 : x
  2. Step 2: Convert to fraction form
    84,811,468/184,640,928 = 184,640,928/x
  3. Step 3: Cross multiply
    84,811,468x = 184,640,928 × 184,640,928
  4. Step 4: Simplify right side
    84,811,468x = 34,092,272,292,701,184
  5. Step 5: Solve for x
    x = 34,092,272,292,701,184/84,811,468
  6. Step 6: Final answer
    x = 401,977,151.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.