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Finding the Third Proportional to 73,118,280 and 158,823,324

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Solution

The third proportional to 73,118,280 and 158,823,324 is: 344,986,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118,280 : 158,823,324 = 158,823,324 : x
  2. Step 2: Convert to fraction form
    73,118,280/158,823,324 = 158,823,324/x
  3. Step 3: Cross multiply
    73,118,280x = 158,823,324 × 158,823,324
  4. Step 4: Simplify right side
    73,118,280x = 25,224,848,246,408,976
  5. Step 5: Solve for x
    x = 25,224,848,246,408,976/73,118,280
  6. Step 6: Final answer
    x = 344,986,893.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.