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Finding the Third Proportional to 49,060,767,508.50 and 106,494,626,599.50

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Solution

The third proportional to 49,060,767,508.50 and 106,494,626,599.50 is: 231,164,453,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060,767,508.50 : 106,494,626,599.50 = 106,494,626,599.50 : x
  2. Step 2: Convert to fraction form
    49,060,767,508.50/106,494,626,599.50 = 106,494,626,599.50/x
  3. Step 3: Cross multiply
    49,060,767,508.50x = 106,494,626,599.50 × 106,494,626,599.50
  4. Step 4: Simplify right side
    49,060,767,508.50x = 11,341,105,494,566,933,364,736
  5. Step 5: Solve for x
    x = 11,341,105,494,566,933,364,736/49,060,767,508.50
  6. Step 6: Final answer
    x = 231,164,453,197.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.