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Finding the Third Proportional to 108,488,772 and 163,742,042.25

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Solution

The third proportional to 108,488,772 and 163,742,042.25 is: 247,135,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,772 : 163,742,042.25 = 163,742,042.25 : x
  2. Step 2: Convert to fraction form
    108,488,772/163,742,042.25 = 163,742,042.25/x
  3. Step 3: Cross multiply
    108,488,772x = 163,742,042.25 × 163,742,042.25
  4. Step 4: Simplify right side
    108,488,772x = 26,811,456,400,200,784
  5. Step 5: Solve for x
    x = 26,811,456,400,200,784/108,488,772
  6. Step 6: Final answer
    x = 247,135,771.80

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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.