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Finding the Third Proportional to 104,077,320,886 and 140,424,742,661

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Solution

The third proportional to 104,077,320,886 and 140,424,742,661 is: 189,465,948,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077,320,886 : 140,424,742,661 = 140,424,742,661 : x
  2. Step 2: Convert to fraction form
    104,077,320,886/140,424,742,661 = 140,424,742,661/x
  3. Step 3: Cross multiply
    104,077,320,886x = 140,424,742,661 × 140,424,742,661
  4. Step 4: Simplify right side
    104,077,320,886x = 19,719,108,351,408,071,507,968
  5. Step 5: Solve for x
    x = 19,719,108,351,408,071,507,968/104,077,320,886
  6. Step 6: Final answer
    x = 189,465,948,811.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.