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Finding the Third Proportional to 249,951,584,160 and 547,655,770,296

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Solution

The third proportional to 249,951,584,160 and 547,655,770,296 is: 1,199,939,755,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,951,584,160 : 547,655,770,296 = 547,655,770,296 : x
  2. Step 2: Convert to fraction form
    249,951,584,160/547,655,770,296 = 547,655,770,296/x
  3. Step 3: Cross multiply
    249,951,584,160x = 547,655,770,296 × 547,655,770,296
  4. Step 4: Simplify right side
    249,951,584,160x = 299,926,842,738,505,106,325,504
  5. Step 5: Solve for x
    x = 299,926,842,738,505,106,325,504/249,951,584,160
  6. Step 6: Final answer
    x = 1,199,939,755,318.83

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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.