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Finding the Third Proportional to 179,352,048 and 386,211,184

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Solution

The third proportional to 179,352,048 and 386,211,184 is: 831,655,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,352,048 : 386,211,184 = 386,211,184 : x
  2. Step 2: Convert to fraction form
    179,352,048/386,211,184 = 386,211,184/x
  3. Step 3: Cross multiply
    179,352,048x = 386,211,184 × 386,211,184
  4. Step 4: Simplify right side
    179,352,048x = 149,159,078,646,681,856
  5. Step 5: Solve for x
    x = 149,159,078,646,681,856/179,352,048
  6. Step 6: Final answer
    x = 831,655,285.29

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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.