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Finding the Third Proportional to 196,419,510 and 273,105,633

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Solution

The third proportional to 196,419,510 and 273,105,633 is: 379,731,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419,510 : 273,105,633 = 273,105,633 : x
  2. Step 2: Convert to fraction form
    196,419,510/273,105,633 = 273,105,633/x
  3. Step 3: Cross multiply
    196,419,510x = 273,105,633 × 273,105,633
  4. Step 4: Simplify right side
    196,419,510x = 74,586,686,776,330,688
  5. Step 5: Solve for x
    x = 74,586,686,776,330,688/196,419,510
  6. Step 6: Final answer
    x = 379,731,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.