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Finding the Third Proportional to 85,194,024 and 183,789,984

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Solution

The third proportional to 85,194,024 and 183,789,984 is: 396,492,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194,024 : 183,789,984 = 183,789,984 : x
  2. Step 2: Convert to fraction form
    85,194,024/183,789,984 = 183,789,984/x
  3. Step 3: Cross multiply
    85,194,024x = 183,789,984 × 183,789,984
  4. Step 4: Simplify right side
    85,194,024x = 33,778,758,218,720,256
  5. Step 5: Solve for x
    x = 33,778,758,218,720,256/85,194,024
  6. Step 6: Final answer
    x = 396,492,108.63

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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.