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Finding the Third Proportional to 101,890,911 and 223,798,710

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Solution

The third proportional to 101,890,911 and 223,798,710 is: 491,563,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,890,911 : 223,798,710 = 223,798,710 : x
  2. Step 2: Convert to fraction form
    101,890,911/223,798,710 = 223,798,710/x
  3. Step 3: Cross multiply
    101,890,911x = 223,798,710 × 223,798,710
  4. Step 4: Simplify right side
    101,890,911x = 50,085,862,597,664,096
  5. Step 5: Solve for x
    x = 50,085,862,597,664,096/101,890,911
  6. Step 6: Final answer
    x = 491,563,595.87

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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.