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Finding the Third Proportional to 82,973,430 and 179,241,192

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Solution

The third proportional to 82,973,430 and 179,241,192 is: 387,201,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,973,430 : 179,241,192 = 179,241,192 : x
  2. Step 2: Convert to fraction form
    82,973,430/179,241,192 = 179,241,192/x
  3. Step 3: Cross multiply
    82,973,430x = 179,241,192 × 179,241,192
  4. Step 4: Simplify right side
    82,973,430x = 32,127,404,909,580,864
  5. Step 5: Solve for x
    x = 32,127,404,909,580,864/82,973,430
  6. Step 6: Final answer
    x = 387,201,118.59

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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.