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Finding the Third Proportional to 208,424,562 and 306,574,476

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Solution

The third proportional to 208,424,562 and 306,574,476 is: 450,944,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424,562 : 306,574,476 = 306,574,476 : x
  2. Step 2: Convert to fraction form
    208,424,562/306,574,476 = 306,574,476/x
  3. Step 3: Cross multiply
    208,424,562x = 306,574,476 × 306,574,476
  4. Step 4: Simplify right side
    208,424,562x = 93,987,909,334,674,576
  5. Step 5: Solve for x
    x = 93,987,909,334,674,576/208,424,562
  6. Step 6: Final answer
    x = 450,944,497.29

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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.