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Finding the Third Proportional to 49,001,409.42 and 106,644,270.94

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Solution

The third proportional to 49,001,409.42 and 106,644,270.94 is: 232,095,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,001,409.42 : 106,644,270.94 = 106,644,270.94 : x
  2. Step 2: Convert to fraction form
    49,001,409.42/106,644,270.94 = 106,644,270.94/x
  3. Step 3: Cross multiply
    49,001,409.42x = 106,644,270.94 × 106,644,270.94
  4. Step 4: Simplify right side
    49,001,409.42x = 11,373,000,523,790,908
  5. Step 5: Solve for x
    x = 11,373,000,523,790,908/49,001,409.42
  6. Step 6: Final answer
    x = 232,095,375.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.