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Finding the Third Proportional to 92,032,352 and 146,512,616

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Solution

The third proportional to 92,032,352 and 146,512,616 is: 233,243,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032,352 : 146,512,616 = 146,512,616 : x
  2. Step 2: Convert to fraction form
    92,032,352/146,512,616 = 146,512,616/x
  3. Step 3: Cross multiply
    92,032,352x = 146,512,616 × 146,512,616
  4. Step 4: Simplify right side
    92,032,352x = 21,465,946,647,163,456
  5. Step 5: Solve for x
    x = 21,465,946,647,163,456/92,032,352
  6. Step 6: Final answer
    x = 233,243,486.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.