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Finding the Third Proportional to 49,812,568.50 and 102,808,324.50

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Solution

The third proportional to 49,812,568.50 and 102,808,324.50 is: 212,186,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812,568.50 : 102,808,324.50 = 102,808,324.50 : x
  2. Step 2: Convert to fraction form
    49,812,568.50/102,808,324.50 = 102,808,324.50/x
  3. Step 3: Cross multiply
    49,812,568.50x = 102,808,324.50 × 102,808,324.50
  4. Step 4: Simplify right side
    49,812,568.50x = 10,569,551,586,497,300
  5. Step 5: Solve for x
    x = 10,569,551,586,497,300/49,812,568.50
  6. Step 6: Final answer
    x = 212,186,440.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.