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Finding the Third Proportional to 47,851,134 and 104,965,590

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Solution

The third proportional to 47,851,134 and 104,965,590 is: 230,251,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,134 : 104,965,590 = 104,965,590 : x
  2. Step 2: Convert to fraction form
    47,851,134/104,965,590 = 104,965,590/x
  3. Step 3: Cross multiply
    47,851,134x = 104,965,590 × 104,965,590
  4. Step 4: Simplify right side
    47,851,134x = 11,017,775,084,048,100
  5. Step 5: Solve for x
    x = 11,017,775,084,048,100/47,851,134
  6. Step 6: Final answer
    x = 230,251,075.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.