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Finding the Third Proportional to 116,964,900 and 181,844,203.50

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Solution

The third proportional to 116,964,900 and 181,844,203.50 is: 282,711,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964,900 : 181,844,203.50 = 181,844,203.50 : x
  2. Step 2: Convert to fraction form
    116,964,900/181,844,203.50 = 181,844,203.50/x
  3. Step 3: Cross multiply
    116,964,900x = 181,844,203.50 × 181,844,203.50
  4. Step 4: Simplify right side
    116,964,900x = 33,067,314,346,549,412
  5. Step 5: Solve for x
    x = 33,067,314,346,549,412/116,964,900
  6. Step 6: Final answer
    x = 282,711,431.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.