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Finding the Third Proportional to 101,889,580 and 223,795,646

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Solution

The third proportional to 101,889,580 and 223,795,646 is: 491,556,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889,580 : 223,795,646 = 223,795,646 : x
  2. Step 2: Convert to fraction form
    101,889,580/223,795,646 = 223,795,646/x
  3. Step 3: Cross multiply
    101,889,580x = 223,795,646 × 223,795,646
  4. Step 4: Simplify right side
    101,889,580x = 50,084,491,168,557,312
  5. Step 5: Solve for x
    x = 50,084,491,168,557,312/101,889,580
  6. Step 6: Final answer
    x = 491,556,557.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.