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Finding the Third Proportional to 49,247,353.50 and 106,905,855

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Solution

The third proportional to 49,247,353.50 and 106,905,855 is: 232,070,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,247,353.50 : 106,905,855 = 106,905,855 : x
  2. Step 2: Convert to fraction form
    49,247,353.50/106,905,855 = 106,905,855/x
  3. Step 3: Cross multiply
    49,247,353.50x = 106,905,855 × 106,905,855
  4. Step 4: Simplify right side
    49,247,353.50x = 11,428,861,833,281,024
  5. Step 5: Solve for x
    x = 11,428,861,833,281,024/49,247,353.50
  6. Step 6: Final answer
    x = 232,070,578.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.