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Finding the Third Proportional to 46,714,241 and 102,225,977

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Solution

The third proportional to 46,714,241 and 102,225,977 is: 223,703,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714,241 : 102,225,977 = 102,225,977 : x
  2. Step 2: Convert to fraction form
    46,714,241/102,225,977 = 102,225,977/x
  3. Step 3: Cross multiply
    46,714,241x = 102,225,977 × 102,225,977
  4. Step 4: Simplify right side
    46,714,241x = 10,450,150,373,604,528
  5. Step 5: Solve for x
    x = 10,450,150,373,604,528/46,714,241
  6. Step 6: Final answer
    x = 223,703,738.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.