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Finding the Third Proportional to 85,407,146,313 and 183,667,774,479

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Solution

The third proportional to 85,407,146,313 and 183,667,774,479 is: 394,976,917,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407,146,313 : 183,667,774,479 = 183,667,774,479 : x
  2. Step 2: Convert to fraction form
    85,407,146,313/183,667,774,479 = 183,667,774,479/x
  3. Step 3: Cross multiply
    85,407,146,313x = 183,667,774,479 × 183,667,774,479
  4. Step 4: Simplify right side
    85,407,146,313x = 33,733,851,382,068,805,632,000
  5. Step 5: Solve for x
    x = 33,733,851,382,068,805,632,000/85,407,146,313
  6. Step 6: Final answer
    x = 394,976,917,486.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.