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Finding the Third Proportional to 211,350,409.50 and 339,744,666

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Solution

The third proportional to 211,350,409.50 and 339,744,666 is: 546,137,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,350,409.50 : 339,744,666 = 339,744,666 : x
  2. Step 2: Convert to fraction form
    211,350,409.50/339,744,666 = 339,744,666/x
  3. Step 3: Cross multiply
    211,350,409.50x = 339,744,666 × 339,744,666
  4. Step 4: Simplify right side
    211,350,409.50x = 115,426,438,075,451,552
  5. Step 5: Solve for x
    x = 115,426,438,075,451,552/211,350,409.50
  6. Step 6: Final answer
    x = 546,137,754.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.