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Finding the Third Proportional to 75,365,184 and 119,534,112

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Solution

The third proportional to 75,365,184 and 119,534,112 is: 189,588,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,365,184 : 119,534,112 = 119,534,112 : x
  2. Step 2: Convert to fraction form
    75,365,184/119,534,112 = 119,534,112/x
  3. Step 3: Cross multiply
    75,365,184x = 119,534,112 × 119,534,112
  4. Step 4: Simplify right side
    75,365,184x = 14,288,403,931,628,544
  5. Step 5: Solve for x
    x = 14,288,403,931,628,544/75,365,184
  6. Step 6: Final answer
    x = 189,588,921.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.