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Finding the Third Proportional to 149,827,707,708 and 216,475,164,057

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Solution

The third proportional to 149,827,707,708 and 216,475,164,057 is: 312,769,229,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827,707,708 : 216,475,164,057 = 216,475,164,057 : x
  2. Step 2: Convert to fraction form
    149,827,707,708/216,475,164,057 = 216,475,164,057/x
  3. Step 3: Cross multiply
    149,827,707,708x = 216,475,164,057 × 216,475,164,057
  4. Step 4: Simplify right side
    149,827,707,708x = 46,861,496,653,505,066,172,416
  5. Step 5: Solve for x
    x = 46,861,496,653,505,066,172,416/149,827,707,708
  6. Step 6: Final answer
    x = 312,769,229,205.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.