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Finding the Third Proportional to 179,952,506,360 and 386,987,246,080

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Solution

The third proportional to 179,952,506,360 and 386,987,246,080 is: 832,214,741,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,506,360 : 386,987,246,080 = 386,987,246,080 : x
  2. Step 2: Convert to fraction form
    179,952,506,360/386,987,246,080 = 386,987,246,080/x
  3. Step 3: Cross multiply
    179,952,506,360x = 386,987,246,080 × 386,987,246,080
  4. Step 4: Simplify right side
    179,952,506,360x = 149,759,128,628,582,475,104,256
  5. Step 5: Solve for x
    x = 149,759,128,628,582,475,104,256/179,952,506,360
  6. Step 6: Final answer
    x = 832,214,741,866.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.