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Finding the Third Proportional to 76,045,148 and 164,211,448

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Solution

The third proportional to 76,045,148 and 164,211,448 is: 354,597,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,045,148 : 164,211,448 = 164,211,448 : x
  2. Step 2: Convert to fraction form
    76,045,148/164,211,448 = 164,211,448/x
  3. Step 3: Cross multiply
    76,045,148x = 164,211,448 × 164,211,448
  4. Step 4: Simplify right side
    76,045,148x = 26,965,399,654,256,704
  5. Step 5: Solve for x
    x = 26,965,399,654,256,704/76,045,148
  6. Step 6: Final answer
    x = 354,597,240.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.