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Finding the Third Proportional to 269,187,988 and 585,615,176

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Solution

The third proportional to 269,187,988 and 585,615,176 is: 1,273,998,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187,988 : 585,615,176 = 585,615,176 : x
  2. Step 2: Convert to fraction form
    269,187,988/585,615,176 = 585,615,176/x
  3. Step 3: Cross multiply
    269,187,988x = 585,615,176 × 585,615,176
  4. Step 4: Simplify right side
    269,187,988x = 342,945,134,361,510,976
  5. Step 5: Solve for x
    x = 342,945,134,361,510,976/269,187,988
  6. Step 6: Final answer
    x = 1,273,998,653.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.