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Finding the Third Proportional to 67,349,796 and 145,212,184

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Solution

The third proportional to 67,349,796 and 145,212,184 is: 313,090,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,349,796 : 145,212,184 = 145,212,184 : x
  2. Step 2: Convert to fraction form
    67,349,796/145,212,184 = 145,212,184/x
  3. Step 3: Cross multiply
    67,349,796x = 145,212,184 × 145,212,184
  4. Step 4: Simplify right side
    67,349,796x = 21,086,578,382,049,856
  5. Step 5: Solve for x
    x = 21,086,578,382,049,856/67,349,796
  6. Step 6: Final answer
    x = 313,090,456.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.