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Finding the Third Proportional to 166,118,316.75 and 357,990,018.75

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Solution

The third proportional to 166,118,316.75 and 357,990,018.75 is: 771,479,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,118,316.75 : 357,990,018.75 = 357,990,018.75 : x
  2. Step 2: Convert to fraction form
    166,118,316.75/357,990,018.75 = 357,990,018.75/x
  3. Step 3: Cross multiply
    166,118,316.75x = 357,990,018.75 × 357,990,018.75
  4. Step 4: Simplify right side
    166,118,316.75x = 128,156,853,524,625,344
  5. Step 5: Solve for x
    x = 128,156,853,524,625,344/166,118,316.75
  6. Step 6: Final answer
    x = 771,479,365.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.