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Finding the Third Proportional to 46,016,718.75 and 102,248,493.75

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Solution

The third proportional to 46,016,718.75 and 102,248,493.75 is: 227,194,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016,718.75 : 102,248,493.75 = 102,248,493.75 : x
  2. Step 2: Convert to fraction form
    46,016,718.75/102,248,493.75 = 102,248,493.75/x
  3. Step 3: Cross multiply
    46,016,718.75x = 102,248,493.75 × 102,248,493.75
  4. Step 4: Simplify right side
    46,016,718.75x = 10,454,754,474,143,790
  5. Step 5: Solve for x
    x = 10,454,754,474,143,790/46,016,718.75
  6. Step 6: Final answer
    x = 227,194,697.02

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Why These Related Problems?

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