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Finding the Third Proportional to 189,108,445.50 and 292,052,000.25

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Solution

The third proportional to 189,108,445.50 and 292,052,000.25 is: 451,034,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,108,445.50 : 292,052,000.25 = 292,052,000.25 : x
  2. Step 2: Convert to fraction form
    189,108,445.50/292,052,000.25 = 292,052,000.25/x
  3. Step 3: Cross multiply
    189,108,445.50x = 292,052,000.25 × 292,052,000.25
  4. Step 4: Simplify right side
    189,108,445.50x = 85,294,370,850,026,000
  5. Step 5: Solve for x
    x = 85,294,370,850,026,000/189,108,445.50
  6. Step 6: Final answer
    x = 451,034,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.