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Finding the Third Proportional to 47,426,580 and 102,043,368

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Solution

The third proportional to 47,426,580 and 102,043,368 is: 219,557,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426,580 : 102,043,368 = 102,043,368 : x
  2. Step 2: Convert to fraction form
    47,426,580/102,043,368 = 102,043,368/x
  3. Step 3: Cross multiply
    47,426,580x = 102,043,368 × 102,043,368
  4. Step 4: Simplify right side
    47,426,580x = 10,412,848,952,783,424
  5. Step 5: Solve for x
    x = 10,412,848,952,783,424/47,426,580
  6. Step 6: Final answer
    x = 219,557,238.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.