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Finding the Third Proportional to 178,063,212 and 386,582,184

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Solution

The third proportional to 178,063,212 and 386,582,184 is: 839,285,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,063,212 : 386,582,184 = 386,582,184 : x
  2. Step 2: Convert to fraction form
    178,063,212/386,582,184 = 386,582,184/x
  3. Step 3: Cross multiply
    178,063,212x = 386,582,184 × 386,582,184
  4. Step 4: Simplify right side
    178,063,212x = 149,445,784,986,209,856
  5. Step 5: Solve for x
    x = 149,445,784,986,209,856/178,063,212
  6. Step 6: Final answer
    x = 839,285,011.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.