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Finding the Third Proportional to 290,040,230.25 and 460,021,811.63

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Solution

The third proportional to 290,040,230.25 and 460,021,811.63 is: 729,623,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040,230.25 : 460,021,811.63 = 460,021,811.63 : x
  2. Step 2: Convert to fraction form
    290,040,230.25/460,021,811.63 = 460,021,811.63/x
  3. Step 3: Cross multiply
    290,040,230.25x = 460,021,811.63 × 460,021,811.63
  4. Step 4: Simplify right side
    290,040,230.25x = 211,620,067,170,746,976
  5. Step 5: Solve for x
    x = 211,620,067,170,746,976/290,040,230.25
  6. Step 6: Final answer
    x = 729,623,152.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.