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Finding the Third Proportional to 182,886,095 and 278,616,716

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Solution

The third proportional to 182,886,095 and 278,616,716 is: 424,456,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886,095 : 278,616,716 = 278,616,716 : x
  2. Step 2: Convert to fraction form
    182,886,095/278,616,716 = 278,616,716/x
  3. Step 3: Cross multiply
    182,886,095x = 278,616,716 × 278,616,716
  4. Step 4: Simplify right side
    182,886,095x = 77,627,274,434,624,656
  5. Step 5: Solve for x
    x = 77,627,274,434,624,656/182,886,095
  6. Step 6: Final answer
    x = 424,456,951.93

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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.