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Finding the Third Proportional to 46,239,537 and 100,619,097

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Solution

The third proportional to 46,239,537 and 100,619,097 is: 218,951,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,239,537 : 100,619,097 = 100,619,097 : x
  2. Step 2: Convert to fraction form
    46,239,537/100,619,097 = 100,619,097/x
  3. Step 3: Cross multiply
    46,239,537x = 100,619,097 × 100,619,097
  4. Step 4: Simplify right side
    46,239,537x = 10,124,202,681,095,408
  5. Step 5: Solve for x
    x = 10,124,202,681,095,408/46,239,537
  6. Step 6: Final answer
    x = 218,951,212.27

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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.