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Finding the Third Proportional to 161,395,684.31 and 345,229,988.63

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Solution

The third proportional to 161,395,684.31 and 345,229,988.63 is: 738,456,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,395,684.31 : 345,229,988.63 = 345,229,988.63 : x
  2. Step 2: Convert to fraction form
    161,395,684.31/345,229,988.63 = 345,229,988.63/x
  3. Step 3: Cross multiply
    161,395,684.31x = 345,229,988.63 × 345,229,988.63
  4. Step 4: Simplify right side
    161,395,684.31x = 119,183,745,046,017,632
  5. Step 5: Solve for x
    x = 119,183,745,046,017,632/161,395,684.31
  6. Step 6: Final answer
    x = 738,456,827.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.