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Finding the Third Proportional to 46,438,277 and 108,441,192.50

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Solution

The third proportional to 46,438,277 and 108,441,192.50 is: 253,228,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438,277 : 108,441,192.50 = 108,441,192.50 : x
  2. Step 2: Convert to fraction form
    46,438,277/108,441,192.50 = 108,441,192.50/x
  3. Step 3: Cross multiply
    46,438,277x = 108,441,192.50 × 108,441,192.50
  4. Step 4: Simplify right side
    46,438,277x = 11,759,492,230,822,056
  5. Step 5: Solve for x
    x = 11,759,492,230,822,056/46,438,277
  6. Step 6: Final answer
    x = 253,228,435.47

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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.