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Finding the Third Proportional to 68,104,782,178 and 159,123,507,329

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Solution

The third proportional to 68,104,782,178 and 159,123,507,329 is: 371,784,326,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104,782,178 : 159,123,507,329 = 159,123,507,329 : x
  2. Step 2: Convert to fraction form
    68,104,782,178/159,123,507,329 = 159,123,507,329/x
  3. Step 3: Cross multiply
    68,104,782,178x = 159,123,507,329 × 159,123,507,329
  4. Step 4: Simplify right side
    68,104,782,178x = 25,320,290,584,682,316,169,216
  5. Step 5: Solve for x
    x = 25,320,290,584,682,316,169,216/68,104,782,178
  6. Step 6: Final answer
    x = 371,784,326,664.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.