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Finding the Third Proportional to 120,321,664.13 and 263,623,990.13

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Solution

The third proportional to 120,321,664.13 and 263,623,990.13 is: 577,598,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,321,664.13 : 263,623,990.13 = 263,623,990.13 : x
  2. Step 2: Convert to fraction form
    120,321,664.13/263,623,990.13 = 263,623,990.13/x
  3. Step 3: Cross multiply
    120,321,664.13x = 263,623,990.13 × 263,623,990.13
  4. Step 4: Simplify right side
    120,321,664.13x = 69,497,608,169,426,096
  5. Step 5: Solve for x
    x = 69,497,608,169,426,096/120,321,664.13
  6. Step 6: Final answer
    x = 577,598,462.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.