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Finding the Third Proportional to 138,135,480 and 199,565,460

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Solution

The third proportional to 138,135,480 and 199,565,460 is: 288,313,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,135,480 : 199,565,460 = 199,565,460 : x
  2. Step 2: Convert to fraction form
    138,135,480/199,565,460 = 199,565,460/x
  3. Step 3: Cross multiply
    138,135,480x = 199,565,460 × 199,565,460
  4. Step 4: Simplify right side
    138,135,480x = 39,826,372,825,011,600
  5. Step 5: Solve for x
    x = 39,826,372,825,011,600/138,135,480
  6. Step 6: Final answer
    x = 288,313,855.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.