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Finding the Third Proportional to 123,327,678,726 and 196,238,581,119

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Solution

The third proportional to 123,327,678,726 and 196,238,581,119 is: 312,254,159,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327,678,726 : 196,238,581,119 = 196,238,581,119 : x
  2. Step 2: Convert to fraction form
    123,327,678,726/196,238,581,119 = 196,238,581,119/x
  3. Step 3: Cross multiply
    123,327,678,726x = 196,238,581,119 × 196,238,581,119
  4. Step 4: Simplify right side
    123,327,678,726x = 38,509,580,719,598,344,339,456
  5. Step 5: Solve for x
    x = 38,509,580,719,598,344,339,456/123,327,678,726
  6. Step 6: Final answer
    x = 312,254,159,953.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.