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Finding the Third Proportional to 164,664,538.50 and 219,522,892.50

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Solution

The third proportional to 164,664,538.50 and 219,522,892.50 is: 292,657,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664,538.50 : 219,522,892.50 = 219,522,892.50 : x
  2. Step 2: Convert to fraction form
    164,664,538.50/219,522,892.50 = 219,522,892.50/x
  3. Step 3: Cross multiply
    164,664,538.50x = 219,522,892.50 × 219,522,892.50
  4. Step 4: Simplify right side
    164,664,538.50x = 48,190,300,331,566,560
  5. Step 5: Solve for x
    x = 48,190,300,331,566,560/164,664,538.50
  6. Step 6: Final answer
    x = 292,657,428.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.