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Finding the Third Proportional to 151,486,172 and 327,186,076

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Solution

The third proportional to 151,486,172 and 327,186,076 is: 706,669,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,486,172 : 327,186,076 = 327,186,076 : x
  2. Step 2: Convert to fraction form
    151,486,172/327,186,076 = 327,186,076/x
  3. Step 3: Cross multiply
    151,486,172x = 327,186,076 × 327,186,076
  4. Step 4: Simplify right side
    151,486,172x = 107,050,728,328,277,776
  5. Step 5: Solve for x
    x = 107,050,728,328,277,776/151,486,172
  6. Step 6: Final answer
    x = 706,669,968.06

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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.