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Finding the Third Proportional to 123,142,534.88 and 267,719,310

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Solution

The third proportional to 123,142,534.88 and 267,719,310 is: 582,037,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142,534.88 : 267,719,310 = 267,719,310 : x
  2. Step 2: Convert to fraction form
    123,142,534.88/267,719,310 = 267,719,310/x
  3. Step 3: Cross multiply
    123,142,534.88x = 267,719,310 × 267,719,310
  4. Step 4: Simplify right side
    123,142,534.88x = 71,673,628,946,876,096
  5. Step 5: Solve for x
    x = 71,673,628,946,876,096/123,142,534.88
  6. Step 6: Final answer
    x = 582,037,953.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.