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Finding the Third Proportional to 129,580,890,444 and 201,947,336,874

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Solution

The third proportional to 129,580,890,444 and 201,947,336,874 is: 314,727,941,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,580,890,444 : 201,947,336,874 = 201,947,336,874 : x
  2. Step 2: Convert to fraction form
    129,580,890,444/201,947,336,874 = 201,947,336,874/x
  3. Step 3: Cross multiply
    129,580,890,444x = 201,947,336,874 × 201,947,336,874
  4. Step 4: Simplify right side
    129,580,890,444x = 40,782,726,870,500,844,240,896
  5. Step 5: Solve for x
    x = 40,782,726,870,500,844,240,896/129,580,890,444
  6. Step 6: Final answer
    x = 314,727,941,216.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.