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Finding the Third Proportional to 47,851,129 and 104,965,580

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Solution

The third proportional to 47,851,129 and 104,965,580 is: 230,251,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,129 : 104,965,580 = 104,965,580 : x
  2. Step 2: Convert to fraction form
    47,851,129/104,965,580 = 104,965,580/x
  3. Step 3: Cross multiply
    47,851,129x = 104,965,580 × 104,965,580
  4. Step 4: Simplify right side
    47,851,129x = 11,017,772,984,736,400
  5. Step 5: Solve for x
    x = 11,017,772,984,736,400/47,851,129
  6. Step 6: Final answer
    x = 230,251,056.04

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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.