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Finding the Third Proportional to 182,886,102 and 278,616,725

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Solution

The third proportional to 182,886,102 and 278,616,725 is: 424,456,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886,102 : 278,616,725 = 278,616,725 : x
  2. Step 2: Convert to fraction form
    182,886,102/278,616,725 = 278,616,725/x
  3. Step 3: Cross multiply
    182,886,102x = 278,616,725 × 278,616,725
  4. Step 4: Simplify right side
    182,886,102x = 77,627,279,449,725,632
  5. Step 5: Solve for x
    x = 77,627,279,449,725,632/182,886,102
  6. Step 6: Final answer
    x = 424,456,963.11

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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.