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Finding the Third Proportional to 77,639,196 and 166,184,686

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Solution

The third proportional to 77,639,196 and 166,184,686 is: 355,714,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639,196 : 166,184,686 = 166,184,686 : x
  2. Step 2: Convert to fraction form
    77,639,196/166,184,686 = 166,184,686/x
  3. Step 3: Cross multiply
    77,639,196x = 166,184,686 × 166,184,686
  4. Step 4: Simplify right side
    77,639,196x = 27,617,349,860,918,596
  5. Step 5: Solve for x
    x = 27,617,349,860,918,596/77,639,196
  6. Step 6: Final answer
    x = 355,714,011.53

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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.