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Finding the Third Proportional to 108,488,796 and 163,742,100

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Solution

The third proportional to 108,488,796 and 163,742,100 is: 247,135,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,796 : 163,742,100 = 163,742,100 : x
  2. Step 2: Convert to fraction form
    108,488,796/163,742,100 = 163,742,100/x
  3. Step 3: Cross multiply
    108,488,796x = 163,742,100 × 163,742,100
  4. Step 4: Simplify right side
    108,488,796x = 26,811,475,312,410,000
  5. Step 5: Solve for x
    x = 26,811,475,312,410,000/108,488,796
  6. Step 6: Final answer
    x = 247,135,891.46

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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.