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Finding the Third Proportional to 166,164,159.38 and 363,599,502.75

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Solution

The third proportional to 166,164,159.38 and 363,599,502.75 is: 795,626,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,164,159.38 : 363,599,502.75 = 363,599,502.75 : x
  2. Step 2: Convert to fraction form
    166,164,159.38/363,599,502.75 = 363,599,502.75/x
  3. Step 3: Cross multiply
    166,164,159.38x = 363,599,502.75 × 363,599,502.75
  4. Step 4: Simplify right side
    166,164,159.38x = 132,204,598,400,047,264
  5. Step 5: Solve for x
    x = 132,204,598,400,047,264/166,164,159.38
  6. Step 6: Final answer
    x = 795,626,438.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.