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Finding the Third Proportional to 238,419,805,093.50 and 366,468,334,266

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Solution

The third proportional to 238,419,805,093.50 and 366,468,334,266 is: 563,288,104,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,419,805,093.50 : 366,468,334,266 = 366,468,334,266 : x
  2. Step 2: Convert to fraction form
    238,419,805,093.50/366,468,334,266 = 366,468,334,266/x
  3. Step 3: Cross multiply
    238,419,805,093.50x = 366,468,334,266 × 366,468,334,266
  4. Step 4: Simplify right side
    238,419,805,093.50x = 134,299,040,019,696,710,582,272
  5. Step 5: Solve for x
    x = 134,299,040,019,696,710,582,272/238,419,805,093.50
  6. Step 6: Final answer
    x = 563,288,104,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.