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Finding the Third Proportional to 121,835,802,008 and 267,207,433,168

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Solution

The third proportional to 121,835,802,008 and 267,207,433,168 is: 586,033,096,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,835,802,008 : 267,207,433,168 = 267,207,433,168 : x
  2. Step 2: Convert to fraction form
    121,835,802,008/267,207,433,168 = 267,207,433,168/x
  3. Step 3: Cross multiply
    121,835,802,008x = 267,207,433,168 × 267,207,433,168
  4. Step 4: Simplify right side
    121,835,802,008x = 71,399,812,340,231,188,774,912
  5. Step 5: Solve for x
    x = 71,399,812,340,231,188,774,912/121,835,802,008
  6. Step 6: Final answer
    x = 586,033,096,704.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.