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Finding the Third Proportional to 166,703,996,940.75 and 357,607,802,905.50

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Solution

The third proportional to 166,703,996,940.75 and 357,607,802,905.50 is: 767,128,221,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,703,996,940.75 : 357,607,802,905.50 = 357,607,802,905.50 : x
  2. Step 2: Convert to fraction form
    166,703,996,940.75/357,607,802,905.50 = 357,607,802,905.50/x
  3. Step 3: Cross multiply
    166,703,996,940.75x = 357,607,802,905.50 × 357,607,802,905.50
  4. Step 4: Simplify right side
    166,703,996,940.75x = 127,883,340,698,898,940,297,216
  5. Step 5: Solve for x
    x = 127,883,340,698,898,940,297,216/166,703,996,940.75
  6. Step 6: Final answer
    x = 767,128,221,552.79

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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.