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Finding the Third Proportional to 160,928,636.63 and 347,584,176

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Solution

The third proportional to 160,928,636.63 and 347,584,176 is: 750,734,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,928,636.63 : 347,584,176 = 347,584,176 : x
  2. Step 2: Convert to fraction form
    160,928,636.63/347,584,176 = 347,584,176/x
  3. Step 3: Cross multiply
    160,928,636.63x = 347,584,176 × 347,584,176
  4. Step 4: Simplify right side
    160,928,636.63x = 120,814,759,405,598,976
  5. Step 5: Solve for x
    x = 120,814,759,405,598,976/160,928,636.63
  6. Step 6: Final answer
    x = 750,734,996.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.