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Finding the Third Proportional to 51,827,148 and 111,195,072

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Solution

The third proportional to 51,827,148 and 111,195,072 is: 238,568,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,827,148 : 111,195,072 = 111,195,072 : x
  2. Step 2: Convert to fraction form
    51,827,148/111,195,072 = 111,195,072/x
  3. Step 3: Cross multiply
    51,827,148x = 111,195,072 × 111,195,072
  4. Step 4: Simplify right side
    51,827,148x = 12,364,344,037,085,184
  5. Step 5: Solve for x
    x = 12,364,344,037,085,184/51,827,148
  6. Step 6: Final answer
    x = 238,568,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.