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Finding the Third Proportional to 232,066,646 and 348,100,011

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Solution

The third proportional to 232,066,646 and 348,100,011 is: 522,150,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,066,646 : 348,100,011 = 348,100,011 : x
  2. Step 2: Convert to fraction form
    232,066,646/348,100,011 = 348,100,011/x
  3. Step 3: Cross multiply
    232,066,646x = 348,100,011 × 348,100,011
  4. Step 4: Simplify right side
    232,066,646x = 121,173,617,658,200,128
  5. Step 5: Solve for x
    x = 121,173,617,658,200,128/232,066,646
  6. Step 6: Final answer
    x = 522,150,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.