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Finding the Third Proportional to 119,840,589,840 and 176,285,918,216

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Solution

The third proportional to 119,840,589,840 and 176,285,918,216 is: 259,317,189,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,840,589,840 : 176,285,918,216 = 176,285,918,216 : x
  2. Step 2: Convert to fraction form
    119,840,589,840/176,285,918,216 = 176,285,918,216/x
  3. Step 3: Cross multiply
    119,840,589,840x = 176,285,918,216 × 176,285,918,216
  4. Step 4: Simplify right side
    119,840,589,840x = 31,076,724,961,258,242,048,000
  5. Step 5: Solve for x
    x = 31,076,724,961,258,242,048,000/119,840,589,840
  6. Step 6: Final answer
    x = 259,317,189,632.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.