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Finding the Third Proportional to 103,381,488 and 160,057,296

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Solution

The third proportional to 103,381,488 and 160,057,296 is: 247,803,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381,488 : 160,057,296 = 160,057,296 : x
  2. Step 2: Convert to fraction form
    103,381,488/160,057,296 = 160,057,296/x
  3. Step 3: Cross multiply
    103,381,488x = 160,057,296 × 160,057,296
  4. Step 4: Simplify right side
    103,381,488x = 25,618,338,002,831,616
  5. Step 5: Solve for x
    x = 25,618,338,002,831,616/103,381,488
  6. Step 6: Final answer
    x = 247,803,920.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.