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Finding the Third Proportional to 118,798,176 and 189,033,216

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Solution

The third proportional to 118,798,176 and 189,033,216 is: 300,792,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,798,176 : 189,033,216 = 189,033,216 : x
  2. Step 2: Convert to fraction form
    118,798,176/189,033,216 = 189,033,216/x
  3. Step 3: Cross multiply
    118,798,176x = 189,033,216 × 189,033,216
  4. Step 4: Simplify right side
    118,798,176x = 35,733,556,751,302,656
  5. Step 5: Solve for x
    x = 35,733,556,751,302,656/118,798,176
  6. Step 6: Final answer
    x = 300,792,132.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.