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Finding the Third Proportional to 108,376,896 and 165,106,128

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Solution

The third proportional to 108,376,896 and 165,106,128 is: 251,529,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,376,896 : 165,106,128 = 165,106,128 : x
  2. Step 2: Convert to fraction form
    108,376,896/165,106,128 = 165,106,128/x
  3. Step 3: Cross multiply
    108,376,896x = 165,106,128 × 165,106,128
  4. Step 4: Simplify right side
    108,376,896x = 27,260,033,503,152,384
  5. Step 5: Solve for x
    x = 27,260,033,503,152,384/108,376,896
  6. Step 6: Final answer
    x = 251,529,934.05

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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.