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Finding the Third Proportional to 88,497,407,126 and 194,646,660,277

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Solution

The third proportional to 88,497,407,126 and 194,646,660,277 is: 428,117,880,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,497,407,126 : 194,646,660,277 = 194,646,660,277 : x
  2. Step 2: Convert to fraction form
    88,497,407,126/194,646,660,277 = 194,646,660,277/x
  3. Step 3: Cross multiply
    88,497,407,126x = 194,646,660,277 × 194,646,660,277
  4. Step 4: Simplify right side
    88,497,407,126x = 37,887,322,356,989,850,288,128
  5. Step 5: Solve for x
    x = 37,887,322,356,989,850,288,128/88,497,407,126
  6. Step 6: Final answer
    x = 428,117,880,369.61

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Why These Related Problems?

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