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Finding the Third Proportional to 97,104,781 and 208,060,224

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Solution

The third proportional to 97,104,781 and 208,060,224 is: 445,797,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,781 : 208,060,224 = 208,060,224 : x
  2. Step 2: Convert to fraction form
    97,104,781/208,060,224 = 208,060,224/x
  3. Step 3: Cross multiply
    97,104,781x = 208,060,224 × 208,060,224
  4. Step 4: Simplify right side
    97,104,781x = 43,289,056,810,930,176
  5. Step 5: Solve for x
    x = 43,289,056,810,930,176/97,104,781
  6. Step 6: Final answer
    x = 445,797,378.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.