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Finding the Third Proportional to 101,313,744 and 238,925,952

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Solution

The third proportional to 101,313,744 and 238,925,952 is: 563,453,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313,744 : 238,925,952 = 238,925,952 : x
  2. Step 2: Convert to fraction form
    101,313,744/238,925,952 = 238,925,952/x
  3. Step 3: Cross multiply
    101,313,744x = 238,925,952 × 238,925,952
  4. Step 4: Simplify right side
    101,313,744x = 57,085,610,539,106,304
  5. Step 5: Solve for x
    x = 57,085,610,539,106,304/101,313,744
  6. Step 6: Final answer
    x = 563,453,765.36

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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.