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Finding the Third Proportional to 76,329,939,324 and 167,801,562,775.50

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Solution

The third proportional to 76,329,939,324 and 167,801,562,775.50 is: 368,890,172,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329,939,324 : 167,801,562,775.50 = 167,801,562,775.50 : x
  2. Step 2: Convert to fraction form
    76,329,939,324/167,801,562,775.50 = 167,801,562,775.50/x
  3. Step 3: Cross multiply
    76,329,939,324x = 167,801,562,775.50 × 167,801,562,775.50
  4. Step 4: Simplify right side
    76,329,939,324x = 28,157,364,469,900,068,782,080
  5. Step 5: Solve for x
    x = 28,157,364,469,900,068,782,080/76,329,939,324
  6. Step 6: Final answer
    x = 368,890,172,313.38

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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.