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Finding the Third Proportional to 108,488,710 and 163,741,971.50

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Solution

The third proportional to 108,488,710 and 163,741,971.50 is: 247,135,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,710 : 163,741,971.50 = 163,741,971.50 : x
  2. Step 2: Convert to fraction form
    108,488,710/163,741,971.50 = 163,741,971.50/x
  3. Step 3: Cross multiply
    108,488,710x = 163,741,971.50 × 163,741,971.50
  4. Step 4: Simplify right side
    108,488,710x = 26,811,433,230,706,812
  5. Step 5: Solve for x
    x = 26,811,433,230,706,812/108,488,710
  6. Step 6: Final answer
    x = 247,135,699.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.