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Finding the Third Proportional to 68,600,364,328 and 148,597,343,072

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Solution

The third proportional to 68,600,364,328 and 148,597,343,072 is: 321,881,240,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,600,364,328 : 148,597,343,072 = 148,597,343,072 : x
  2. Step 2: Convert to fraction form
    68,600,364,328/148,597,343,072 = 148,597,343,072/x
  3. Step 3: Cross multiply
    68,600,364,328x = 148,597,343,072 × 148,597,343,072
  4. Step 4: Simplify right side
    68,600,364,328x = 22,081,170,368,057,667,747,840
  5. Step 5: Solve for x
    x = 22,081,170,368,057,667,747,840/68,600,364,328
  6. Step 6: Final answer
    x = 321,881,240,491.39

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Why These Related Problems?

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