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Finding the Third Proportional to 254,893,938.75 and 393,600,816.84

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Solution

The third proportional to 254,893,938.75 and 393,600,816.84 is: 607,788,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893,938.75 : 393,600,816.84 = 393,600,816.84 : x
  2. Step 2: Convert to fraction form
    254,893,938.75/393,600,816.84 = 393,600,816.84/x
  3. Step 3: Cross multiply
    254,893,938.75x = 393,600,816.84 × 393,600,816.84
  4. Step 4: Simplify right side
    254,893,938.75x = 154,921,603,020,067,232
  5. Step 5: Solve for x
    x = 154,921,603,020,067,232/254,893,938.75
  6. Step 6: Final answer
    x = 607,788,493.44

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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.