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Finding the Third Proportional to 67,349,802 and 145,212,196

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Solution

The third proportional to 67,349,802 and 145,212,196 is: 313,090,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,349,802 : 145,212,196 = 145,212,196 : x
  2. Step 2: Convert to fraction form
    67,349,802/145,212,196 = 145,212,196/x
  3. Step 3: Cross multiply
    67,349,802x = 145,212,196 × 145,212,196
  4. Step 4: Simplify right side
    67,349,802x = 21,086,581,867,142,416
  5. Step 5: Solve for x
    x = 21,086,581,867,142,416/67,349,802
  6. Step 6: Final answer
    x = 313,090,480.46

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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.