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Finding the Third Proportional to 108,488,766 and 163,742,034

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Solution

The third proportional to 108,488,766 and 163,742,034 is: 247,135,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,766 : 163,742,034 = 163,742,034 : x
  2. Step 2: Convert to fraction form
    108,488,766/163,742,034 = 163,742,034/x
  3. Step 3: Cross multiply
    108,488,766x = 163,742,034 × 163,742,034
  4. Step 4: Simplify right side
    108,488,766x = 26,811,453,698,457,156
  5. Step 5: Solve for x
    x = 26,811,453,698,457,156/108,488,766
  6. Step 6: Final answer
    x = 247,135,760.57

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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.