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Finding the Third Proportional to 133,078,371.75 and 289,590,195.75

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Solution

The third proportional to 133,078,371.75 and 289,590,195.75 is: 630,173,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078,371.75 : 289,590,195.75 = 289,590,195.75 : x
  2. Step 2: Convert to fraction form
    133,078,371.75/289,590,195.75 = 289,590,195.75/x
  3. Step 3: Cross multiply
    133,078,371.75x = 289,590,195.75 × 289,590,195.75
  4. Step 4: Simplify right side
    133,078,371.75x = 83,862,481,474,523,312
  5. Step 5: Solve for x
    x = 83,862,481,474,523,312/133,078,371.75
  6. Step 6: Final answer
    x = 630,173,636.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.