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Finding the Third Proportional to 160,991,816 and 251,053,650

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Solution

The third proportional to 160,991,816 and 251,053,650 is: 391,497,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,991,816 : 251,053,650 = 251,053,650 : x
  2. Step 2: Convert to fraction form
    160,991,816/251,053,650 = 251,053,650/x
  3. Step 3: Cross multiply
    160,991,816x = 251,053,650 × 251,053,650
  4. Step 4: Simplify right side
    160,991,816x = 63,027,935,178,322,496
  5. Step 5: Solve for x
    x = 63,027,935,178,322,496/160,991,816
  6. Step 6: Final answer
    x = 391,497,758.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.