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Finding the Third Proportional to 49,302,938 and 105,201,320

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Solution

The third proportional to 49,302,938 and 105,201,320 is: 224,475,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302,938 : 105,201,320 = 105,201,320 : x
  2. Step 2: Convert to fraction form
    49,302,938/105,201,320 = 105,201,320/x
  3. Step 3: Cross multiply
    49,302,938x = 105,201,320 × 105,201,320
  4. Step 4: Simplify right side
    49,302,938x = 11,067,317,729,742,400
  5. Step 5: Solve for x
    x = 11,067,317,729,742,400/49,302,938
  6. Step 6: Final answer
    x = 224,475,825.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.