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Finding the Third Proportional to 135,106,581 and 273,972,661.50

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Solution

The third proportional to 135,106,581 and 273,972,661.50 is: 555,568,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106,581 : 273,972,661.50 = 273,972,661.50 : x
  2. Step 2: Convert to fraction form
    135,106,581/273,972,661.50 = 273,972,661.50/x
  3. Step 3: Cross multiply
    135,106,581x = 273,972,661.50 × 273,972,661.50
  4. Step 4: Simplify right side
    135,106,581x = 75,061,019,249,393,584
  5. Step 5: Solve for x
    x = 75,061,019,249,393,584/135,106,581
  6. Step 6: Final answer
    x = 555,568,934.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.