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Finding the Third Proportional to 119,841,216 and 257,884,286

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Solution

The third proportional to 119,841,216 and 257,884,286 is: 554,936,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,841,216 : 257,884,286 = 257,884,286 : x
  2. Step 2: Convert to fraction form
    119,841,216/257,884,286 = 257,884,286/x
  3. Step 3: Cross multiply
    119,841,216x = 257,884,286 × 257,884,286
  4. Step 4: Simplify right side
    119,841,216x = 66,504,304,965,729,792
  5. Step 5: Solve for x
    x = 66,504,304,965,729,792/119,841,216
  6. Step 6: Final answer
    x = 554,936,833.80

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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.