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Finding the Third Proportional to 77,639,212 and 166,184,888

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Solution

The third proportional to 77,639,212 and 166,184,888 is: 355,714,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639,212 : 166,184,888 = 166,184,888 : x
  2. Step 2: Convert to fraction form
    77,639,212/166,184,888 = 166,184,888/x
  3. Step 3: Cross multiply
    77,639,212x = 166,184,888 × 166,184,888
  4. Step 4: Simplify right side
    77,639,212x = 27,617,416,999,572,544
  5. Step 5: Solve for x
    x = 27,617,416,999,572,544/77,639,212
  6. Step 6: Final answer
    x = 355,714,802.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.