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Finding the Third Proportional to 319,164,942 and 485,182,704

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Solution

The third proportional to 319,164,942 and 485,182,704 is: 737,556,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,164,942 : 485,182,704 = 485,182,704 : x
  2. Step 2: Convert to fraction form
    319,164,942/485,182,704 = 485,182,704/x
  3. Step 3: Cross multiply
    319,164,942x = 485,182,704 × 485,182,704
  4. Step 4: Simplify right side
    319,164,942x = 235,402,256,260,751,616
  5. Step 5: Solve for x
    x = 235,402,256,260,751,616/319,164,942
  6. Step 6: Final answer
    x = 737,556,746.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.