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Finding the Third Proportional to 106,184,149,952.50 and 227,514,003,905

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Solution

The third proportional to 106,184,149,952.50 and 227,514,003,905 is: 487,479,741,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,184,149,952.50 : 227,514,003,905 = 227,514,003,905 : x
  2. Step 2: Convert to fraction form
    106,184,149,952.50/227,514,003,905 = 227,514,003,905/x
  3. Step 3: Cross multiply
    106,184,149,952.50x = 227,514,003,905 × 227,514,003,905
  4. Step 4: Simplify right side
    106,184,149,952.50x = 51,762,621,972,884,356,071,424
  5. Step 5: Solve for x
    x = 51,762,621,972,884,356,071,424/106,184,149,952.50
  6. Step 6: Final answer
    x = 487,479,741,524.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.