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Finding the Third Proportional to 45,284,256 and 99,464,728

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Solution

The third proportional to 45,284,256 and 99,464,728 is: 218,469,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,256 : 99,464,728 = 99,464,728 : x
  2. Step 2: Convert to fraction form
    45,284,256/99,464,728 = 99,464,728/x
  3. Step 3: Cross multiply
    45,284,256x = 99,464,728 × 99,464,728
  4. Step 4: Simplify right side
    45,284,256x = 9,893,232,116,113,984
  5. Step 5: Solve for x
    x = 9,893,232,116,113,984/45,284,256
  6. Step 6: Final answer
    x = 218,469,573.98

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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.