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Finding the Third Proportional to 259,904,838.50 and 612,922,336.25

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Solution

The third proportional to 259,904,838.50 and 612,922,336.25 is: 1,445,428,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904,838.50 : 612,922,336.25 = 612,922,336.25 : x
  2. Step 2: Convert to fraction form
    259,904,838.50/612,922,336.25 = 612,922,336.25/x
  3. Step 3: Cross multiply
    259,904,838.50x = 612,922,336.25 × 612,922,336.25
  4. Step 4: Simplify right side
    259,904,838.50x = 375,673,790,274,158,080
  5. Step 5: Solve for x
    x = 375,673,790,274,158,080/259,904,838.50
  6. Step 6: Final answer
    x = 1,445,428,228.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.