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Finding the Third Proportional to 46,259,219.75 and 102,858,514.50

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Solution

The third proportional to 46,259,219.75 and 102,858,514.50 is: 228,708,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,259,219.75 : 102,858,514.50 = 102,858,514.50 : x
  2. Step 2: Convert to fraction form
    46,259,219.75/102,858,514.50 = 102,858,514.50/x
  3. Step 3: Cross multiply
    46,259,219.75x = 102,858,514.50 × 102,858,514.50
  4. Step 4: Simplify right side
    46,259,219.75x = 10,579,874,005,146,710
  5. Step 5: Solve for x
    x = 10,579,874,005,146,710/46,259,219.75
  6. Step 6: Final answer
    x = 228,708,440.44

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.