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Finding the Third Proportional to 156,501,758,144 and 343,748,736,208

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Solution

The third proportional to 156,501,758,144 and 343,748,736,208 is: 755,027,899,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,501,758,144 : 343,748,736,208 = 343,748,736,208 : x
  2. Step 2: Convert to fraction form
    156,501,758,144/343,748,736,208 = 343,748,736,208/x
  3. Step 3: Cross multiply
    156,501,758,144x = 343,748,736,208 × 343,748,736,208
  4. Step 4: Simplify right side
    156,501,758,144x = 118,163,193,644,597,163,065,344
  5. Step 5: Solve for x
    x = 118,163,193,644,597,163,065,344/156,501,758,144
  6. Step 6: Final answer
    x = 755,027,899,021.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.