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Finding the Third Proportional to 54,110,796 and 115,883,184

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Solution

The third proportional to 54,110,796 and 115,883,184 is: 248,174,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,110,796 : 115,883,184 = 115,883,184 : x
  2. Step 2: Convert to fraction form
    54,110,796/115,883,184 = 115,883,184/x
  3. Step 3: Cross multiply
    54,110,796x = 115,883,184 × 115,883,184
  4. Step 4: Simplify right side
    54,110,796x = 13,428,912,333,977,856
  5. Step 5: Solve for x
    x = 13,428,912,333,977,856/54,110,796
  6. Step 6: Final answer
    x = 248,174,363.10

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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.