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Finding the Third Proportional to 189,647,950.50 and 413,754,070.50

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Solution

The third proportional to 189,647,950.50 and 413,754,070.50 is: 902,685,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647,950.50 : 413,754,070.50 = 413,754,070.50 : x
  2. Step 2: Convert to fraction form
    189,647,950.50/413,754,070.50 = 413,754,070.50/x
  3. Step 3: Cross multiply
    189,647,950.50x = 413,754,070.50 × 413,754,070.50
  4. Step 4: Simplify right side
    189,647,950.50x = 171,192,430,855,318,976
  5. Step 5: Solve for x
    x = 171,192,430,855,318,976/189,647,950.50
  6. Step 6: Final answer
    x = 902,685,372.58

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Why These Related Problems?

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