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Finding the Third Proportional to 229,733,540 and 491,759,548

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Solution

The third proportional to 229,733,540 and 491,759,548 is: 1,052,643,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,733,540 : 491,759,548 = 491,759,548 : x
  2. Step 2: Convert to fraction form
    229,733,540/491,759,548 = 491,759,548/x
  3. Step 3: Cross multiply
    229,733,540x = 491,759,548 × 491,759,548
  4. Step 4: Simplify right side
    229,733,540x = 241,827,453,049,164,288
  5. Step 5: Solve for x
    x = 241,827,453,049,164,288/229,733,540
  6. Step 6: Final answer
    x = 1,052,643,218.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.