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Finding the Third Proportional to 208,424,568 and 306,574,485

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Solution

The third proportional to 208,424,568 and 306,574,485 is: 450,944,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424,568 : 306,574,485 = 306,574,485 : x
  2. Step 2: Convert to fraction form
    208,424,568/306,574,485 = 306,574,485/x
  3. Step 3: Cross multiply
    208,424,568x = 306,574,485 × 306,574,485
  4. Step 4: Simplify right side
    208,424,568x = 93,987,914,853,015,232
  5. Step 5: Solve for x
    x = 93,987,914,853,015,232/208,424,568
  6. Step 6: Final answer
    x = 450,944,510.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.