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Finding the Third Proportional to 92,032,354 and 146,512,619

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Solution

The third proportional to 92,032,354 and 146,512,619 is: 233,243,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032,354 : 146,512,619 = 146,512,619 : x
  2. Step 2: Convert to fraction form
    92,032,354/146,512,619 = 146,512,619/x
  3. Step 3: Cross multiply
    92,032,354x = 146,512,619 × 146,512,619
  4. Step 4: Simplify right side
    92,032,354x = 21,465,947,526,239,160
  5. Step 5: Solve for x
    x = 21,465,947,526,239,160/92,032,354
  6. Step 6: Final answer
    x = 233,243,490.94

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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.