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Finding the Third Proportional to 150,455,818 and 207,895,760

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Solution

The third proportional to 150,455,818 and 207,895,760 is: 287,264,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,455,818 : 207,895,760 = 207,895,760 : x
  2. Step 2: Convert to fraction form
    150,455,818/207,895,760 = 207,895,760/x
  3. Step 3: Cross multiply
    150,455,818x = 207,895,760 × 207,895,760
  4. Step 4: Simplify right side
    150,455,818x = 43,220,647,025,977,600
  5. Step 5: Solve for x
    x = 43,220,647,025,977,600/150,455,818
  6. Step 6: Final answer
    x = 287,264,710.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.