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Finding the Third Proportional to 46,022,154.75 and 102,259,995.75

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Solution

The third proportional to 46,022,154.75 and 102,259,995.75 is: 227,218,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022,154.75 : 102,259,995.75 = 102,259,995.75 : x
  2. Step 2: Convert to fraction form
    46,022,154.75/102,259,995.75 = 102,259,995.75/x
  3. Step 3: Cross multiply
    46,022,154.75x = 102,259,995.75 × 102,259,995.75
  4. Step 4: Simplify right side
    46,022,154.75x = 10,457,106,730,790,018
  5. Step 5: Solve for x
    x = 10,457,106,730,790,018/46,022,154.75
  6. Step 6: Final answer
    x = 227,218,972.85

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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.