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Finding the Third Proportional to 218,035,119.09 and 335,135,078.86

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Solution

The third proportional to 218,035,119.09 and 335,135,078.86 is: 515,125,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035,119.09 : 335,135,078.86 = 335,135,078.86 : x
  2. Step 2: Convert to fraction form
    218,035,119.09/335,135,078.86 = 335,135,078.86/x
  3. Step 3: Cross multiply
    218,035,119.09x = 335,135,078.86 × 335,135,078.86
  4. Step 4: Simplify right side
    218,035,119.09x = 112,315,521,082,069,440
  5. Step 5: Solve for x
    x = 112,315,521,082,069,440/218,035,119.09
  6. Step 6: Final answer
    x = 515,125,827.20

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