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Finding the Third Proportional to 157,318,564.50 and 238,162,659.75

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Solution

The third proportional to 157,318,564.50 and 238,162,659.75 is: 360,551,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,318,564.50 : 238,162,659.75 = 238,162,659.75 : x
  2. Step 2: Convert to fraction form
    157,318,564.50/238,162,659.75 = 238,162,659.75/x
  3. Step 3: Cross multiply
    157,318,564.50x = 238,162,659.75 × 238,162,659.75
  4. Step 4: Simplify right side
    157,318,564.50x = 56,721,452,499,194,272
  5. Step 5: Solve for x
    x = 56,721,452,499,194,272/157,318,564.50
  6. Step 6: Final answer
    x = 360,551,551.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.