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Finding the Third Proportional to 108,376,970 and 165,106,240

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Solution

The third proportional to 108,376,970 and 165,106,240 is: 251,530,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,376,970 : 165,106,240 = 165,106,240 : x
  2. Step 2: Convert to fraction form
    108,376,970/165,106,240 = 165,106,240/x
  3. Step 3: Cross multiply
    108,376,970x = 165,106,240 × 165,106,240
  4. Step 4: Simplify right side
    108,376,970x = 27,260,070,486,937,600
  5. Step 5: Solve for x
    x = 27,260,070,486,937,600/108,376,970
  6. Step 6: Final answer
    x = 251,530,103.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.