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Finding the Third Proportional to 179,921,884 and 276,430,089

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Solution

The third proportional to 179,921,884 and 276,430,089 is: 424,704,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,921,884 : 276,430,089 = 276,430,089 : x
  2. Step 2: Convert to fraction form
    179,921,884/276,430,089 = 276,430,089/x
  3. Step 3: Cross multiply
    179,921,884x = 276,430,089 × 276,430,089
  4. Step 4: Simplify right side
    179,921,884x = 76,413,594,104,547,920
  5. Step 5: Solve for x
    x = 76,413,594,104,547,920/179,921,884
  6. Step 6: Final answer
    x = 424,704,279.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.