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Finding the Third Proportional to 181,749,168 and 391,212,008

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Solution

The third proportional to 181,749,168 and 391,212,008 is: 842,077,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,749,168 : 391,212,008 = 391,212,008 : x
  2. Step 2: Convert to fraction form
    181,749,168/391,212,008 = 391,212,008/x
  3. Step 3: Cross multiply
    181,749,168x = 391,212,008 × 391,212,008
  4. Step 4: Simplify right side
    181,749,168x = 153,046,835,203,392,064
  5. Step 5: Solve for x
    x = 153,046,835,203,392,064/181,749,168
  6. Step 6: Final answer
    x = 842,077,225.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.