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Finding the Third Proportional to 85,194,026 and 183,789,988

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Solution

The third proportional to 85,194,026 and 183,789,988 is: 396,492,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194,026 : 183,789,988 = 183,789,988 : x
  2. Step 2: Convert to fraction form
    85,194,026/183,789,988 = 183,789,988/x
  3. Step 3: Cross multiply
    85,194,026x = 183,789,988 × 183,789,988
  4. Step 4: Simplify right side
    85,194,026x = 33,778,759,689,040,144
  5. Step 5: Solve for x
    x = 33,778,759,689,040,144/85,194,026
  6. Step 6: Final answer
    x = 396,492,116.58

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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.