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Finding the Third Proportional to 100,445,589 and 215,240,085

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Solution

The third proportional to 100,445,589 and 215,240,085 is: 461,227,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,445,589 : 215,240,085 = 215,240,085 : x
  2. Step 2: Convert to fraction form
    100,445,589/215,240,085 = 215,240,085/x
  3. Step 3: Cross multiply
    100,445,589x = 215,240,085 × 215,240,085
  4. Step 4: Simplify right side
    100,445,589x = 46,328,294,190,807,224
  5. Step 5: Solve for x
    x = 46,328,294,190,807,224/100,445,589
  6. Step 6: Final answer
    x = 461,227,761.74

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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.