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Finding the Third Proportional to 96,757,032 and 208,906,224

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Solution

The third proportional to 96,757,032 and 208,906,224 is: 451,045,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,757,032 : 208,906,224 = 208,906,224 : x
  2. Step 2: Convert to fraction form
    96,757,032/208,906,224 = 208,906,224/x
  3. Step 3: Cross multiply
    96,757,032x = 208,906,224 × 208,906,224
  4. Step 4: Simplify right side
    96,757,032x = 43,641,810,425,938,176
  5. Step 5: Solve for x
    x = 43,641,810,425,938,176/96,757,032
  6. Step 6: Final answer
    x = 451,045,360.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.