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Finding the Third Proportional to 167,949,069,615 and 370,131,509,271

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Solution

The third proportional to 167,949,069,615 and 370,131,509,271 is: 815,707,609,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,069,615 : 370,131,509,271 = 370,131,509,271 : x
  2. Step 2: Convert to fraction form
    167,949,069,615/370,131,509,271 = 370,131,509,271/x
  3. Step 3: Cross multiply
    167,949,069,615x = 370,131,509,271 × 370,131,509,271
  4. Step 4: Simplify right side
    167,949,069,615x = 136,997,334,155,228,365,193,216
  5. Step 5: Solve for x
    x = 136,997,334,155,228,365,193,216/167,949,069,615
  6. Step 6: Final answer
    x = 815,707,609,868.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.