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Finding the Third Proportional to 231,877,416 and 500,072,856

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Solution

The third proportional to 231,877,416 and 500,072,856 is: 1,078,470,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,877,416 : 500,072,856 = 500,072,856 : x
  2. Step 2: Convert to fraction form
    231,877,416/500,072,856 = 500,072,856/x
  3. Step 3: Cross multiply
    231,877,416x = 500,072,856 × 500,072,856
  4. Step 4: Simplify right side
    231,877,416x = 250,072,861,307,996,736
  5. Step 5: Solve for x
    x = 250,072,861,307,996,736/231,877,416
  6. Step 6: Final answer
    x = 1,078,470,105.55

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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.