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Finding the Third Proportional to 141,825,400 and 310,555,004

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Solution

The third proportional to 141,825,400 and 310,555,004 is: 680,022,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,825,400 : 310,555,004 = 310,555,004 : x
  2. Step 2: Convert to fraction form
    141,825,400/310,555,004 = 310,555,004/x
  3. Step 3: Cross multiply
    141,825,400x = 310,555,004 × 310,555,004
  4. Step 4: Simplify right side
    141,825,400x = 96,444,410,509,440,016
  5. Step 5: Solve for x
    x = 96,444,410,509,440,016/141,825,400
  6. Step 6: Final answer
    x = 680,022,129.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.