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Finding the Third Proportional to 108,963,447.75 and 165,463,057.13

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Solution

The third proportional to 108,963,447.75 and 165,463,057.13 is: 251,258,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,963,447.75 : 165,463,057.13 = 165,463,057.13 : x
  2. Step 2: Convert to fraction form
    108,963,447.75/165,463,057.13 = 165,463,057.13/x
  3. Step 3: Cross multiply
    108,963,447.75x = 165,463,057.13 × 165,463,057.13
  4. Step 4: Simplify right side
    108,963,447.75x = 27,378,023,273,151,012
  5. Step 5: Solve for x
    x = 27,378,023,273,151,012/108,963,447.75
  6. Step 6: Final answer
    x = 251,258,783.00

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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.