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Finding the Third Proportional to 123,512,853.50 and 259,763,057

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Solution

The third proportional to 123,512,853.50 and 259,763,057 is: 546,314,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,512,853.50 : 259,763,057 = 259,763,057 : x
  2. Step 2: Convert to fraction form
    123,512,853.50/259,763,057 = 259,763,057/x
  3. Step 3: Cross multiply
    123,512,853.50x = 259,763,057 × 259,763,057
  4. Step 4: Simplify right side
    123,512,853.50x = 67,476,845,781,985,248
  5. Step 5: Solve for x
    x = 67,476,845,781,985,248/123,512,853.50
  6. Step 6: Final answer
    x = 546,314,362.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.