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Finding the Third Proportional to 45,284,254 and 99,464,723.50

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Solution

The third proportional to 45,284,254 and 99,464,723.50 is: 218,469,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,254 : 99,464,723.50 = 99,464,723.50 : x
  2. Step 2: Convert to fraction form
    45,284,254/99,464,723.50 = 99,464,723.50/x
  3. Step 3: Cross multiply
    45,284,254x = 99,464,723.50 × 99,464,723.50
  4. Step 4: Simplify right side
    45,284,254x = 9,893,231,220,931,452
  5. Step 5: Solve for x
    x = 9,893,231,220,931,452/45,284,254
  6. Step 6: Final answer
    x = 218,469,563.86

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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.