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Finding the Third Proportional to 176,933,993,484 and 389,932,769,144

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Solution

The third proportional to 176,933,993,484 and 389,932,769,144 is: 859,346,253,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,933,993,484 : 389,932,769,144 = 389,932,769,144 : x
  2. Step 2: Convert to fraction form
    176,933,993,484/389,932,769,144 = 389,932,769,144/x
  3. Step 3: Cross multiply
    176,933,993,484x = 389,932,769,144 × 389,932,769,144
  4. Step 4: Simplify right side
    176,933,993,484x = 152,047,564,452,308,010,926,080
  5. Step 5: Solve for x
    x = 152,047,564,452,308,010,926,080/176,933,993,484
  6. Step 6: Final answer
    x = 859,346,253,698.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.