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Finding the Third Proportional to 263,900,251 and 545,903,030

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Solution

The third proportional to 263,900,251 and 545,903,030 is: 1,129,252,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,900,251 : 545,903,030 = 545,903,030 : x
  2. Step 2: Convert to fraction form
    263,900,251/545,903,030 = 545,903,030/x
  3. Step 3: Cross multiply
    263,900,251x = 545,903,030 × 545,903,030
  4. Step 4: Simplify right side
    263,900,251x = 298,010,118,163,180,928
  5. Step 5: Solve for x
    x = 298,010,118,163,180,928/263,900,251
  6. Step 6: Final answer
    x = 1,129,252,878.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.