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Finding the Third Proportional to 101,313,729 and 238,925,925

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Solution

The third proportional to 101,313,729 and 238,925,925 is: 563,453,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313,729 : 238,925,925 = 238,925,925 : x
  2. Step 2: Convert to fraction form
    101,313,729/238,925,925 = 238,925,925/x
  3. Step 3: Cross multiply
    101,313,729x = 238,925,925 × 238,925,925
  4. Step 4: Simplify right side
    101,313,729x = 57,085,597,637,105,624
  5. Step 5: Solve for x
    x = 57,085,597,637,105,624/101,313,729
  6. Step 6: Final answer
    x = 563,453,721.43

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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.