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Finding the Third Proportional to 77,639,202 and 166,184,508

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Solution

The third proportional to 77,639,202 and 166,184,508 is: 355,713,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639,202 : 166,184,508 = 166,184,508 : x
  2. Step 2: Convert to fraction form
    77,639,202/166,184,508 = 166,184,508/x
  3. Step 3: Cross multiply
    77,639,202x = 166,184,508 × 166,184,508
  4. Step 4: Simplify right side
    77,639,202x = 27,617,290,699,202,064
  5. Step 5: Solve for x
    x = 27,617,290,699,202,064/77,639,202
  6. Step 6: Final answer
    x = 355,713,222.03

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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.