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Finding the Third Proportional to 182,886,093 and 278,616,712.50

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Solution

The third proportional to 182,886,093 and 278,616,712.50 is: 424,456,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886,093 : 278,616,712.50 = 278,616,712.50 : x
  2. Step 2: Convert to fraction form
    182,886,093/278,616,712.50 = 278,616,712.50/x
  3. Step 3: Cross multiply
    182,886,093x = 278,616,712.50 × 278,616,712.50
  4. Step 4: Simplify right side
    182,886,093x = 77,627,272,484,307,664
  5. Step 5: Solve for x
    x = 77,627,272,484,307,664/182,886,093
  6. Step 6: Final answer
    x = 424,456,945.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.