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Finding the Third Proportional to 165,599,049,033 and 270,379,708,141.50

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Solution

The third proportional to 165,599,049,033 and 270,379,708,141.50 is: 441,458,975,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,599,049,033 : 270,379,708,141.50 = 270,379,708,141.50 : x
  2. Step 2: Convert to fraction form
    165,599,049,033/270,379,708,141.50 = 270,379,708,141.50/x
  3. Step 3: Cross multiply
    165,599,049,033x = 270,379,708,141.50 × 270,379,708,141.50
  4. Step 4: Simplify right side
    165,599,049,033x = 73,105,186,574,682,724,237,312
  5. Step 5: Solve for x
    x = 73,105,186,574,682,724,237,312/165,599,049,033
  6. Step 6: Final answer
    x = 441,458,975,770.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.