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Finding the Third Proportional to 179,198,210 and 390,969,324

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Solution

The third proportional to 179,198,210 and 390,969,324 is: 853,005,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,198,210 : 390,969,324 = 390,969,324 : x
  2. Step 2: Convert to fraction form
    179,198,210/390,969,324 = 390,969,324/x
  3. Step 3: Cross multiply
    179,198,210x = 390,969,324 × 390,969,324
  4. Step 4: Simplify right side
    179,198,210x = 152,857,012,309,016,960
  5. Step 5: Solve for x
    x = 152,857,012,309,016,960/179,198,210
  6. Step 6: Final answer
    x = 853,005,241.01

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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.