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Finding the Third Proportional to 119,338,038 and 178,272,096.75

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Solution

The third proportional to 119,338,038 and 178,272,096.75 is: 266,310,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,338,038 : 178,272,096.75 = 178,272,096.75 : x
  2. Step 2: Convert to fraction form
    119,338,038/178,272,096.75 = 178,272,096.75/x
  3. Step 3: Cross multiply
    119,338,038x = 178,272,096.75 × 178,272,096.75
  4. Step 4: Simplify right side
    119,338,038x = 31,780,940,479,641,360
  5. Step 5: Solve for x
    x = 31,780,940,479,641,360/119,338,038
  6. Step 6: Final answer
    x = 266,310,231.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.