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Finding the Third Proportional to 134,424,576 and 294,990,336

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Solution

The third proportional to 134,424,576 and 294,990,336 is: 647,346,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,424,576 : 294,990,336 = 294,990,336 : x
  2. Step 2: Convert to fraction form
    134,424,576/294,990,336 = 294,990,336/x
  3. Step 3: Cross multiply
    134,424,576x = 294,990,336 × 294,990,336
  4. Step 4: Simplify right side
    134,424,576x = 87,019,298,333,392,896
  5. Step 5: Solve for x
    x = 87,019,298,333,392,896/134,424,576
  6. Step 6: Final answer
    x = 647,346,645.40

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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.