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Finding the Third Proportional to 149,827,713,684 and 216,475,172,832

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Solution

The third proportional to 149,827,713,684 and 216,475,172,832 is: 312,769,242,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827,713,684 : 216,475,172,832 = 216,475,172,832 : x
  2. Step 2: Convert to fraction form
    149,827,713,684/216,475,172,832 = 216,475,172,832/x
  3. Step 3: Cross multiply
    149,827,713,684x = 216,475,172,832 × 216,475,172,832
  4. Step 4: Simplify right side
    149,827,713,684x = 46,861,500,452,644,275,093,504
  5. Step 5: Solve for x
    x = 46,861,500,452,644,275,093,504/149,827,713,684
  6. Step 6: Final answer
    x = 312,769,242,087.48

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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.