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Finding the Third Proportional to 47,851,130 and 104,965,583

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Solution

The third proportional to 47,851,130 and 104,965,583 is: 230,251,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,130 : 104,965,583 = 104,965,583 : x
  2. Step 2: Convert to fraction form
    47,851,130/104,965,583 = 104,965,583/x
  3. Step 3: Cross multiply
    47,851,130x = 104,965,583 × 104,965,583
  4. Step 4: Simplify right side
    47,851,130x = 11,017,773,614,529,888
  5. Step 5: Solve for x
    x = 11,017,773,614,529,888/47,851,130
  6. Step 6: Final answer
    x = 230,251,064.39

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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.