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Finding the Third Proportional to 101,313,734 and 238,925,937

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Solution

The third proportional to 101,313,734 and 238,925,937 is: 563,453,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313,734 : 238,925,937 = 238,925,937 : x
  2. Step 2: Convert to fraction form
    101,313,734/238,925,937 = 238,925,937/x
  3. Step 3: Cross multiply
    101,313,734x = 238,925,937 × 238,925,937
  4. Step 4: Simplify right side
    101,313,734x = 57,085,603,371,327,968
  5. Step 5: Solve for x
    x = 57,085,603,371,327,968/101,313,734
  6. Step 6: Final answer
    x = 563,453,750.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.