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Finding the Third Proportional to 150,455,816 and 207,895,759

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Solution

The third proportional to 150,455,816 and 207,895,759 is: 287,264,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,455,816 : 207,895,759 = 207,895,759 : x
  2. Step 2: Convert to fraction form
    150,455,816/207,895,759 = 207,895,759/x
  3. Step 3: Cross multiply
    150,455,816x = 207,895,759 × 207,895,759
  4. Step 4: Simplify right side
    150,455,816x = 43,220,646,610,186,080
  5. Step 5: Solve for x
    x = 43,220,646,610,186,080/150,455,816
  6. Step 6: Final answer
    x = 287,264,711.72

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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.