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Finding the Third Proportional to 70,102.69 and 152,893.69

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Solution

The third proportional to 70,102.69 and 152,893.69 is: 333,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.69 : 152,893.69 = 152,893.69 : x
  2. Step 2: Convert to fraction form
    70,102.69/152,893.69 = 152,893.69/x
  3. Step 3: Cross multiply
    70,102.69x = 152,893.69 × 152,893.69
  4. Step 4: Simplify right side
    70,102.69x = 23,376,479,677.35
  5. Step 5: Solve for x
    x = 23,376,479,677.35/70,102.69
  6. Step 6: Final answer
    x = 333,460.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.