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Finding the Third Proportional to 345,257,168 and 526,503,099

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Solution

The third proportional to 345,257,168 and 526,503,099 is: 802,895,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,257,168 : 526,503,099 = 526,503,099 : x
  2. Step 2: Convert to fraction form
    345,257,168/526,503,099 = 526,503,099/x
  3. Step 3: Cross multiply
    345,257,168x = 526,503,099 × 526,503,099
  4. Step 4: Simplify right side
    345,257,168x = 277,205,513,256,603,808
  5. Step 5: Solve for x
    x = 277,205,513,256,603,808/345,257,168
  6. Step 6: Final answer
    x = 802,895,751.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.