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Finding the Third Proportional to 109,765,749 and 238,662,645

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Solution

The third proportional to 109,765,749 and 238,662,645 is: 518,921,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,749 : 238,662,645 = 238,662,645 : x
  2. Step 2: Convert to fraction form
    109,765,749/238,662,645 = 238,662,645/x
  3. Step 3: Cross multiply
    109,765,749x = 238,662,645 × 238,662,645
  4. Step 4: Simplify right side
    109,765,749x = 56,959,858,118,396,024
  5. Step 5: Solve for x
    x = 56,959,858,118,396,024/109,765,749
  6. Step 6: Final answer
    x = 518,921,964.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.