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Finding the Third Proportional to 179,952,506,352 and 386,987,246,064

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Solution

The third proportional to 179,952,506,352 and 386,987,246,064 is: 832,214,741,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,506,352 : 386,987,246,064 = 386,987,246,064 : x
  2. Step 2: Convert to fraction form
    179,952,506,352/386,987,246,064 = 386,987,246,064/x
  3. Step 3: Cross multiply
    179,952,506,352x = 386,987,246,064 × 386,987,246,064
  4. Step 4: Simplify right side
    179,952,506,352x = 149,759,128,616,198,876,430,336
  5. Step 5: Solve for x
    x = 149,759,128,616,198,876,430,336/179,952,506,352
  6. Step 6: Final answer
    x = 832,214,741,834.49

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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.