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Finding the Third Proportional to 84,917,051 and 185,733,014

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Solution

The third proportional to 84,917,051 and 185,733,014 is: 406,240,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,917,051 : 185,733,014 = 185,733,014 : x
  2. Step 2: Convert to fraction form
    84,917,051/185,733,014 = 185,733,014/x
  3. Step 3: Cross multiply
    84,917,051x = 185,733,014 × 185,733,014
  4. Step 4: Simplify right side
    84,917,051x = 34,496,752,489,524,196
  5. Step 5: Solve for x
    x = 34,496,752,489,524,196/84,917,051
  6. Step 6: Final answer
    x = 406,240,585.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.