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Finding the Third Proportional to 121,122,915.75 and 265,693,565.25

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Solution

The third proportional to 121,122,915.75 and 265,693,565.25 is: 582,821,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122,915.75 : 265,693,565.25 = 265,693,565.25 : x
  2. Step 2: Convert to fraction form
    121,122,915.75/265,693,565.25 = 265,693,565.25/x
  3. Step 3: Cross multiply
    121,122,915.75x = 265,693,565.25 × 265,693,565.25
  4. Step 4: Simplify right side
    121,122,915.75x = 70,593,070,615,256,008
  5. Step 5: Solve for x
    x = 70,593,070,615,256,008/121,122,915.75
  6. Step 6: Final answer
    x = 582,821,757.37

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