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Finding the Third Proportional to 107,664,732 and 236,173,599

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Solution

The third proportional to 107,664,732 and 236,173,599 is: 518,070,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664,732 : 236,173,599 = 236,173,599 : x
  2. Step 2: Convert to fraction form
    107,664,732/236,173,599 = 236,173,599/x
  3. Step 3: Cross multiply
    107,664,732x = 236,173,599 × 236,173,599
  4. Step 4: Simplify right side
    107,664,732x = 55,777,968,864,612,800
  5. Step 5: Solve for x
    x = 55,777,968,864,612,800/107,664,732
  6. Step 6: Final answer
    x = 518,070,939.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.