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Finding the Third Proportional to 54,833,429.25 and 85,178,601

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Solution

The third proportional to 54,833,429.25 and 85,178,601 is: 132,316,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833,429.25 : 85,178,601 = 85,178,601 : x
  2. Step 2: Convert to fraction form
    54,833,429.25/85,178,601 = 85,178,601/x
  3. Step 3: Cross multiply
    54,833,429.25x = 85,178,601 × 85,178,601
  4. Step 4: Simplify right side
    54,833,429.25x = 7,255,394,068,317,201
  5. Step 5: Solve for x
    x = 7,255,394,068,317,201/54,833,429.25
  6. Step 6: Final answer
    x = 132,316,985.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.