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Finding the Third Proportional to 76,000,162 and 159,465,284

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Solution

The third proportional to 76,000,162 and 159,465,284 is: 334,593,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000,162 : 159,465,284 = 159,465,284 : x
  2. Step 2: Convert to fraction form
    76,000,162/159,465,284 = 159,465,284/x
  3. Step 3: Cross multiply
    76,000,162x = 159,465,284 × 159,465,284
  4. Step 4: Simplify right side
    76,000,162x = 25,429,176,801,200,656
  5. Step 5: Solve for x
    x = 25,429,176,801,200,656/76,000,162
  6. Step 6: Final answer
    x = 334,593,718.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.