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Finding the Third Proportional to 46,711,097.25 and 109,138,203.75

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Solution

The third proportional to 46,711,097.25 and 109,138,203.75 is: 254,996,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711,097.25 : 109,138,203.75 = 109,138,203.75 : x
  2. Step 2: Convert to fraction form
    46,711,097.25/109,138,203.75 = 109,138,203.75/x
  3. Step 3: Cross multiply
    46,711,097.25x = 109,138,203.75 × 109,138,203.75
  4. Step 4: Simplify right side
    46,711,097.25x = 11,911,147,517,776,514
  5. Step 5: Solve for x
    x = 11,911,147,517,776,514/46,711,097.25
  6. Step 6: Final answer
    x = 254,996,097.69

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