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Finding the Third Proportional to 108,423,360 and 165,175,991

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Solution

The third proportional to 108,423,360 and 165,175,991 is: 251,634,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,423,360 : 165,175,991 = 165,175,991 : x
  2. Step 2: Convert to fraction form
    108,423,360/165,175,991 = 165,175,991/x
  3. Step 3: Cross multiply
    108,423,360x = 165,175,991 × 165,175,991
  4. Step 4: Simplify right side
    108,423,360x = 27,283,108,002,832,080
  5. Step 5: Solve for x
    x = 27,283,108,002,832,080/108,423,360
  6. Step 6: Final answer
    x = 251,634,961.35

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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.