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Finding the Third Proportional to 41,224,178 and 89,551,732

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Solution

The third proportional to 41,224,178 and 89,551,732 is: 194,534,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224,178 : 89,551,732 = 89,551,732 : x
  2. Step 2: Convert to fraction form
    41,224,178/89,551,732 = 89,551,732/x
  3. Step 3: Cross multiply
    41,224,178x = 89,551,732 × 89,551,732
  4. Step 4: Simplify right side
    41,224,178x = 8,019,512,704,199,824
  5. Step 5: Solve for x
    x = 8,019,512,704,199,824/41,224,178
  6. Step 6: Final answer
    x = 194,534,205.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.