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Finding the Third Proportional to 46,711,097.75 and 109,138,205

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Solution

The third proportional to 46,711,097.75 and 109,138,205 is: 254,996,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711,097.75 : 109,138,205 = 109,138,205 : x
  2. Step 2: Convert to fraction form
    46,711,097.75/109,138,205 = 109,138,205/x
  3. Step 3: Cross multiply
    46,711,097.75x = 109,138,205 × 109,138,205
  4. Step 4: Simplify right side
    46,711,097.75x = 11,911,147,790,622,024
  5. Step 5: Solve for x
    x = 11,911,147,790,622,024/46,711,097.75
  6. Step 6: Final answer
    x = 254,996,100.81

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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.