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Finding the Third Proportional to 85,257,243,447 and 183,445,322,189

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Solution

The third proportional to 85,257,243,447 and 183,445,322,189 is: 394,713,514,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257,243,447 : 183,445,322,189 = 183,445,322,189 : x
  2. Step 2: Convert to fraction form
    85,257,243,447/183,445,322,189 = 183,445,322,189/x
  3. Step 3: Cross multiply
    85,257,243,447x = 183,445,322,189 × 183,445,322,189
  4. Step 4: Simplify right side
    85,257,243,447x = 33,652,186,233,026,016,968,704
  5. Step 5: Solve for x
    x = 33,652,186,233,026,016,968,704/85,257,243,447
  6. Step 6: Final answer
    x = 394,713,514,916.14

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Why These Related Problems?

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