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Finding the Third Proportional to 114,612,357.75 and 178,728,672.75

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Solution

The third proportional to 114,612,357.75 and 178,728,672.75 is: 278,712,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,612,357.75 : 178,728,672.75 = 178,728,672.75 : x
  2. Step 2: Convert to fraction form
    114,612,357.75/178,728,672.75 = 178,728,672.75/x
  3. Step 3: Cross multiply
    114,612,357.75x = 178,728,672.75 × 178,728,672.75
  4. Step 4: Simplify right side
    114,612,357.75x = 31,943,938,462,976,592
  5. Step 5: Solve for x
    x = 31,943,938,462,976,592/114,612,357.75
  6. Step 6: Final answer
    x = 278,712,863.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.