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Finding the Third Proportional to 46,438,274 and 108,441,185

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Solution

The third proportional to 46,438,274 and 108,441,185 is: 253,228,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438,274 : 108,441,185 = 108,441,185 : x
  2. Step 2: Convert to fraction form
    46,438,274/108,441,185 = 108,441,185/x
  3. Step 3: Cross multiply
    46,438,274x = 108,441,185 × 108,441,185
  4. Step 4: Simplify right side
    46,438,274x = 11,759,490,604,204,224
  5. Step 5: Solve for x
    x = 11,759,490,604,204,224/46,438,274
  6. Step 6: Final answer
    x = 253,228,416.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.