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Finding the Third Proportional to 88,145,188 and 191,899,016

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Solution

The third proportional to 88,145,188 and 191,899,016 is: 417,779,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,145,188 : 191,899,016 = 191,899,016 : x
  2. Step 2: Convert to fraction form
    88,145,188/191,899,016 = 191,899,016/x
  3. Step 3: Cross multiply
    88,145,188x = 191,899,016 × 191,899,016
  4. Step 4: Simplify right side
    88,145,188x = 36,825,232,341,768,256
  5. Step 5: Solve for x
    x = 36,825,232,341,768,256/88,145,188
  6. Step 6: Final answer
    x = 417,779,270.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.