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Finding the Third Proportional to 47,152,166 and 104,214,700

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Solution

The third proportional to 47,152,166 and 104,214,700 is: 230,333,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152,166 : 104,214,700 = 104,214,700 : x
  2. Step 2: Convert to fraction form
    47,152,166/104,214,700 = 104,214,700/x
  3. Step 3: Cross multiply
    47,152,166x = 104,214,700 × 104,214,700
  4. Step 4: Simplify right side
    47,152,166x = 10,860,703,696,090,000
  5. Step 5: Solve for x
    x = 10,860,703,696,090,000/47,152,166
  6. Step 6: Final answer
    x = 230,333,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.