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Finding the Third Proportional to 240,315,147 and 493,370,122.50

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Solution

The third proportional to 240,315,147 and 493,370,122.50 is: 1,012,895,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,147 : 493,370,122.50 = 493,370,122.50 : x
  2. Step 2: Convert to fraction form
    240,315,147/493,370,122.50 = 493,370,122.50/x
  3. Step 3: Cross multiply
    240,315,147x = 493,370,122.50 × 493,370,122.50
  4. Step 4: Simplify right side
    240,315,147x = 243,414,077,775,664,992
  5. Step 5: Solve for x
    x = 243,414,077,775,664,992/240,315,147
  6. Step 6: Final answer
    x = 1,012,895,278.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.