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Finding the Third Proportional to 74,313,171 and 155,402,214

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Solution

The third proportional to 74,313,171 and 155,402,214 is: 324,973,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,171 : 155,402,214 = 155,402,214 : x
  2. Step 2: Convert to fraction form
    74,313,171/155,402,214 = 155,402,214/x
  3. Step 3: Cross multiply
    74,313,171x = 155,402,214 × 155,402,214
  4. Step 4: Simplify right side
    74,313,171x = 24,149,848,116,101,796
  5. Step 5: Solve for x
    x = 24,149,848,116,101,796/74,313,171
  6. Step 6: Final answer
    x = 324,973,995.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.