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Finding the Third Proportional to 46,948,592 and 100,358,266

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Solution

The third proportional to 46,948,592 and 100,358,266 is: 214,527,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948,592 : 100,358,266 = 100,358,266 : x
  2. Step 2: Convert to fraction form
    46,948,592/100,358,266 = 100,358,266/x
  3. Step 3: Cross multiply
    46,948,592x = 100,358,266 × 100,358,266
  4. Step 4: Simplify right side
    46,948,592x = 10,071,781,554,526,756
  5. Step 5: Solve for x
    x = 10,071,781,554,526,756/46,948,592
  6. Step 6: Final answer
    x = 214,527,872.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.