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Finding the Third Proportional to 121,166,056 and 260,807,884

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Solution

The third proportional to 121,166,056 and 260,807,884 is: 561,384,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166,056 : 260,807,884 = 260,807,884 : x
  2. Step 2: Convert to fraction form
    121,166,056/260,807,884 = 260,807,884/x
  3. Step 3: Cross multiply
    121,166,056x = 260,807,884 × 260,807,884
  4. Step 4: Simplify right side
    121,166,056x = 68,020,752,356,557,456
  5. Step 5: Solve for x
    x = 68,020,752,356,557,456/121,166,056
  6. Step 6: Final answer
    x = 561,384,554.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.