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Finding the Third Proportional to 170,349,889.50 and 369,773,013.94

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Solution

The third proportional to 170,349,889.50 and 369,773,013.94 is: 802,654,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,349,889.50 : 369,773,013.94 = 369,773,013.94 : x
  2. Step 2: Convert to fraction form
    170,349,889.50/369,773,013.94 = 369,773,013.94/x
  3. Step 3: Cross multiply
    170,349,889.50x = 369,773,013.94 × 369,773,013.94
  4. Step 4: Simplify right side
    170,349,889.50x = 136,732,081,836,422,576
  5. Step 5: Solve for x
    x = 136,732,081,836,422,576/170,349,889.50
  6. Step 6: Final answer
    x = 802,654,361.78

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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.