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Finding the Third Proportional to 133,251,496 and 321,008,224

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Solution

The third proportional to 133,251,496 and 321,008,224 is: 773,321,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,251,496 : 321,008,224 = 321,008,224 : x
  2. Step 2: Convert to fraction form
    133,251,496/321,008,224 = 321,008,224/x
  3. Step 3: Cross multiply
    133,251,496x = 321,008,224 × 321,008,224
  4. Step 4: Simplify right side
    133,251,496x = 103,046,279,875,634,176
  5. Step 5: Solve for x
    x = 103,046,279,875,634,176/133,251,496
  6. Step 6: Final answer
    x = 773,321,748.49

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.