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Finding the Third Proportional to 107,596,768.50 and 222,849,555.75

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Solution

The third proportional to 107,596,768.50 and 222,849,555.75 is: 461,555,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,596,768.50 : 222,849,555.75 = 222,849,555.75 : x
  2. Step 2: Convert to fraction form
    107,596,768.50/222,849,555.75 = 222,849,555.75/x
  3. Step 3: Cross multiply
    107,596,768.50x = 222,849,555.75 × 222,849,555.75
  4. Step 4: Simplify right side
    107,596,768.50x = 49,661,924,497,972,360
  5. Step 5: Solve for x
    x = 49,661,924,497,972,360/107,596,768.50
  6. Step 6: Final answer
    x = 461,555,910.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.