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Finding the Third Proportional to 46,793,181.75 and 100,985,019

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Solution

The third proportional to 46,793,181.75 and 100,985,019 is: 217,937,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,181.75 : 100,985,019 = 100,985,019 : x
  2. Step 2: Convert to fraction form
    46,793,181.75/100,985,019 = 100,985,019/x
  3. Step 3: Cross multiply
    46,793,181.75x = 100,985,019 × 100,985,019
  4. Step 4: Simplify right side
    46,793,181.75x = 10,197,974,062,430,360
  5. Step 5: Solve for x
    x = 10,197,974,062,430,360/46,793,181.75
  6. Step 6: Final answer
    x = 217,937,179.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.