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Finding the Third Proportional to 46,945,230.75 and 100,831,999.50

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Solution

The third proportional to 46,945,230.75 and 100,831,999.50 is: 216,573,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945,230.75 : 100,831,999.50 = 100,831,999.50 : x
  2. Step 2: Convert to fraction form
    46,945,230.75/100,831,999.50 = 100,831,999.50/x
  3. Step 3: Cross multiply
    46,945,230.75x = 100,831,999.50 × 100,831,999.50
  4. Step 4: Simplify right side
    46,945,230.75x = 10,167,092,123,168,000
  5. Step 5: Solve for x
    x = 10,167,092,123,168,000/46,945,230.75
  6. Step 6: Final answer
    x = 216,573,482.77

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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.