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Finding the Third Proportional to 116,818,964 and 181,600,152

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Solution

The third proportional to 116,818,964 and 181,600,152 is: 282,305,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,818,964 : 181,600,152 = 181,600,152 : x
  2. Step 2: Convert to fraction form
    116,818,964/181,600,152 = 181,600,152/x
  3. Step 3: Cross multiply
    116,818,964x = 181,600,152 × 181,600,152
  4. Step 4: Simplify right side
    116,818,964x = 32,978,615,206,423,104
  5. Step 5: Solve for x
    x = 32,978,615,206,423,104/116,818,964
  6. Step 6: Final answer
    x = 282,305,321.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.