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Finding the Third Proportional to 115,272,880 and 178,295,968

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Solution

The third proportional to 115,272,880 and 178,295,968 is: 275,775,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272,880 : 178,295,968 = 178,295,968 : x
  2. Step 2: Convert to fraction form
    115,272,880/178,295,968 = 178,295,968/x
  3. Step 3: Cross multiply
    115,272,880x = 178,295,968 × 178,295,968
  4. Step 4: Simplify right side
    115,272,880x = 31,789,452,205,057,024
  5. Step 5: Solve for x
    x = 31,789,452,205,057,024/115,272,880
  6. Step 6: Final answer
    x = 275,775,639.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.