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Finding the Third Proportional to 179,760,884,760 and 264,428,877,324

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Solution

The third proportional to 179,760,884,760 and 264,428,877,324 is: 388,975,784,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,760,884,760 : 264,428,877,324 = 264,428,877,324 : x
  2. Step 2: Convert to fraction form
    179,760,884,760/264,428,877,324 = 264,428,877,324/x
  3. Step 3: Cross multiply
    179,760,884,760x = 264,428,877,324 × 264,428,877,324
  4. Step 4: Simplify right side
    179,760,884,760x = 69,922,631,162,831,042,510,848
  5. Step 5: Solve for x
    x = 69,922,631,162,831,042,510,848/179,760,884,760
  6. Step 6: Final answer
    x = 388,975,784,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.