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Finding the Third Proportional to 118,908,144 and 261,199,686

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Solution

The third proportional to 118,908,144 and 261,199,686 is: 573,764,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,908,144 : 261,199,686 = 261,199,686 : x
  2. Step 2: Convert to fraction form
    118,908,144/261,199,686 = 261,199,686/x
  3. Step 3: Cross multiply
    118,908,144x = 261,199,686 × 261,199,686
  4. Step 4: Simplify right side
    118,908,144x = 68,225,275,966,498,592
  5. Step 5: Solve for x
    x = 68,225,275,966,498,592/118,908,144
  6. Step 6: Final answer
    x = 573,764,535.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.