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Finding the Third Proportional to 229,733,544 and 491,759,556

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Solution

The third proportional to 229,733,544 and 491,759,556 is: 1,052,643,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,733,544 : 491,759,556 = 491,759,556 : x
  2. Step 2: Convert to fraction form
    229,733,544/491,759,556 = 491,759,556/x
  3. Step 3: Cross multiply
    229,733,544x = 491,759,556 × 491,759,556
  4. Step 4: Simplify right side
    229,733,544x = 241,827,460,917,317,120
  5. Step 5: Solve for x
    x = 241,827,460,917,317,120/229,733,544
  6. Step 6: Final answer
    x = 1,052,643,234.88

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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.