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Finding the Third Proportional to 118,585,100 and 256,964,224

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Solution

The third proportional to 118,585,100 and 256,964,224 is: 556,820,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,585,100 : 256,964,224 = 256,964,224 : x
  2. Step 2: Convert to fraction form
    118,585,100/256,964,224 = 256,964,224/x
  3. Step 3: Cross multiply
    118,585,100x = 256,964,224 × 256,964,224
  4. Step 4: Simplify right side
    118,585,100x = 66,030,612,415,922,176
  5. Step 5: Solve for x
    x = 66,030,612,415,922,176/118,585,100
  6. Step 6: Final answer
    x = 556,820,480.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.