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Finding the Third Proportional to 61,880,136.50 and 131,136,747.50

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Solution

The third proportional to 61,880,136.50 and 131,136,747.50 is: 277,905,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,880,136.50 : 131,136,747.50 = 131,136,747.50 : x
  2. Step 2: Convert to fraction form
    61,880,136.50/131,136,747.50 = 131,136,747.50/x
  3. Step 3: Cross multiply
    61,880,136.50x = 131,136,747.50 × 131,136,747.50
  4. Step 4: Simplify right side
    61,880,136.50x = 17,196,846,544,878,756
  5. Step 5: Solve for x
    x = 17,196,846,544,878,756/61,880,136.50
  6. Step 6: Final answer
    x = 277,905,762.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.