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Finding the Third Proportional to 166,928,293.50 and 356,829,319.50

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Solution

The third proportional to 166,928,293.50 and 356,829,319.50 is: 762,765,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,928,293.50 : 356,829,319.50 = 356,829,319.50 : x
  2. Step 2: Convert to fraction form
    166,928,293.50/356,829,319.50 = 356,829,319.50/x
  3. Step 3: Cross multiply
    166,928,293.50x = 356,829,319.50 × 356,829,319.50
  4. Step 4: Simplify right side
    166,928,293.50x = 127,327,163,254,833,088
  5. Step 5: Solve for x
    x = 127,327,163,254,833,088/166,928,293.50
  6. Step 6: Final answer
    x = 762,765,619.81

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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.