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Finding the Third Proportional to 85,407,146,384.63 and 183,667,774,610.25

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Solution

The third proportional to 85,407,146,384.63 and 183,667,774,610.25 is: 394,976,917,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407,146,384.63 : 183,667,774,610.25 = 183,667,774,610.25 : x
  2. Step 2: Convert to fraction form
    85,407,146,384.63/183,667,774,610.25 = 183,667,774,610.25/x
  3. Step 3: Cross multiply
    85,407,146,384.63x = 183,667,774,610.25 × 183,667,774,610.25
  4. Step 4: Simplify right side
    85,407,146,384.63x = 33,733,851,430,281,596,108,800
  5. Step 5: Solve for x
    x = 33,733,851,430,281,596,108,800/85,407,146,384.63
  6. Step 6: Final answer
    x = 394,976,917,720.25

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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.