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Finding the Third Proportional to 117,316,814 and 177,485,180

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Solution

The third proportional to 117,316,814 and 177,485,180 is: 268,512,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,814 : 177,485,180 = 177,485,180 : x
  2. Step 2: Convert to fraction form
    117,316,814/177,485,180 = 177,485,180/x
  3. Step 3: Cross multiply
    117,316,814x = 177,485,180 × 177,485,180
  4. Step 4: Simplify right side
    117,316,814x = 31,500,989,119,632,400
  5. Step 5: Solve for x
    x = 31,500,989,119,632,400/117,316,814
  6. Step 6: Final answer
    x = 268,512,142.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.