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Finding the Third Proportional to 152,729,873,916 and 309,814,650,948

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Solution

The third proportional to 152,729,873,916 and 309,814,650,948 is: 628,463,282,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,729,873,916 : 309,814,650,948 = 309,814,650,948 : x
  2. Step 2: Convert to fraction form
    152,729,873,916/309,814,650,948 = 309,814,650,948/x
  3. Step 3: Cross multiply
    152,729,873,916x = 309,814,650,948 × 309,814,650,948
  4. Step 4: Simplify right side
    152,729,873,916x = 95,985,117,942,031,084,158,976
  5. Step 5: Solve for x
    x = 95,985,117,942,031,084,158,976/152,729,873,916
  6. Step 6: Final answer
    x = 628,463,282,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.