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Finding the Third Proportional to 176,149,752 and 368,360,832

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Solution

The third proportional to 176,149,752 and 368,360,832 is: 770,308,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,752 : 368,360,832 = 368,360,832 : x
  2. Step 2: Convert to fraction form
    176,149,752/368,360,832 = 368,360,832/x
  3. Step 3: Cross multiply
    176,149,752x = 368,360,832 × 368,360,832
  4. Step 4: Simplify right side
    176,149,752x = 135,689,702,551,732,224
  5. Step 5: Solve for x
    x = 135,689,702,551,732,224/176,149,752
  6. Step 6: Final answer
    x = 770,308,791.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.