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Finding the Third Proportional to 319,164,945 and 485,182,708.50

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Solution

The third proportional to 319,164,945 and 485,182,708.50 is: 737,556,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,164,945 : 485,182,708.50 = 485,182,708.50 : x
  2. Step 2: Convert to fraction form
    319,164,945/485,182,708.50 = 485,182,708.50/x
  3. Step 3: Cross multiply
    319,164,945x = 485,182,708.50 × 485,182,708.50
  4. Step 4: Simplify right side
    319,164,945x = 235,402,260,627,395,968
  5. Step 5: Solve for x
    x = 235,402,260,627,395,968/319,164,945
  6. Step 6: Final answer
    x = 737,556,753.38

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Why These Related Problems?

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