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Finding the Third Proportional to 81,092,458.50 and 167,933,689.50

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Solution

The third proportional to 81,092,458.50 and 167,933,689.50 is: 347,772,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092,458.50 : 167,933,689.50 = 167,933,689.50 : x
  2. Step 2: Convert to fraction form
    81,092,458.50/167,933,689.50 = 167,933,689.50/x
  3. Step 3: Cross multiply
    81,092,458.50x = 167,933,689.50 × 167,933,689.50
  4. Step 4: Simplify right side
    81,092,458.50x = 28,201,724,069,082,412
  5. Step 5: Solve for x
    x = 28,201,724,069,082,412/81,092,458.50
  6. Step 6: Final answer
    x = 347,772,463.56

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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.