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Finding the Third Proportional to 82,768,004 and 195,107,212

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Solution

The third proportional to 82,768,004 and 195,107,212 is: 459,921,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768,004 : 195,107,212 = 195,107,212 : x
  2. Step 2: Convert to fraction form
    82,768,004/195,107,212 = 195,107,212/x
  3. Step 3: Cross multiply
    82,768,004x = 195,107,212 × 195,107,212
  4. Step 4: Simplify right side
    82,768,004x = 38,066,824,174,412,944
  5. Step 5: Solve for x
    x = 38,066,824,174,412,944/82,768,004
  6. Step 6: Final answer
    x = 459,921,978.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.