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Finding the Third Proportional to 71,885,239.50 and 157,454,083.50

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Solution

The third proportional to 71,885,239.50 and 157,454,083.50 is: 344,880,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,885,239.50 : 157,454,083.50 = 157,454,083.50 : x
  2. Step 2: Convert to fraction form
    71,885,239.50/157,454,083.50 = 157,454,083.50/x
  3. Step 3: Cross multiply
    71,885,239.50x = 157,454,083.50 × 157,454,083.50
  4. Step 4: Simplify right side
    71,885,239.50x = 24,791,788,410,824,972
  5. Step 5: Solve for x
    x = 24,791,788,410,824,972/71,885,239.50
  6. Step 6: Final answer
    x = 344,880,097.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.