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Finding the Third Proportional to 208,424,505 and 306,574,393.50

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Solution

The third proportional to 208,424,505 and 306,574,393.50 is: 450,944,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424,505 : 306,574,393.50 = 306,574,393.50 : x
  2. Step 2: Convert to fraction form
    208,424,505/306,574,393.50 = 306,574,393.50/x
  3. Step 3: Cross multiply
    208,424,505x = 306,574,393.50 × 306,574,393.50
  4. Step 4: Simplify right side
    208,424,505x = 93,987,858,749,892,848
  5. Step 5: Solve for x
    x = 93,987,858,749,892,848/208,424,505
  6. Step 6: Final answer
    x = 450,944,377.92

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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.