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Finding the Third Proportional to 179,014,716 and 385,574,694.75

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Solution

The third proportional to 179,014,716 and 385,574,694.75 is: 830,478,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,014,716 : 385,574,694.75 = 385,574,694.75 : x
  2. Step 2: Convert to fraction form
    179,014,716/385,574,694.75 = 385,574,694.75/x
  3. Step 3: Cross multiply
    179,014,716x = 385,574,694.75 × 385,574,694.75
  4. Step 4: Simplify right side
    179,014,716x = 148,667,845,231,555,680
  5. Step 5: Solve for x
    x = 148,667,845,231,555,680/179,014,716
  6. Step 6: Final answer
    x = 830,478,345.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.