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Finding the Third Proportional to 46,022,143.50 and 102,259,971

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Solution

The third proportional to 46,022,143.50 and 102,259,971 is: 227,218,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022,143.50 : 102,259,971 = 102,259,971 : x
  2. Step 2: Convert to fraction form
    46,022,143.50/102,259,971 = 102,259,971/x
  3. Step 3: Cross multiply
    46,022,143.50x = 102,259,971 × 102,259,971
  4. Step 4: Simplify right side
    46,022,143.50x = 10,457,101,668,920,840
  5. Step 5: Solve for x
    x = 10,457,101,668,920,840/46,022,143.50
  6. Step 6: Final answer
    x = 227,218,918.41

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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.