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Finding the Third Proportional to 35,091,158 and 78,250,708

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Solution

The third proportional to 35,091,158 and 78,250,708 is: 174,493,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,091,158 : 78,250,708 = 78,250,708 : x
  2. Step 2: Convert to fraction form
    35,091,158/78,250,708 = 78,250,708/x
  3. Step 3: Cross multiply
    35,091,158x = 78,250,708 × 78,250,708
  4. Step 4: Simplify right side
    35,091,158x = 6,123,173,302,501,264
  5. Step 5: Solve for x
    x = 6,123,173,302,501,264/35,091,158
  6. Step 6: Final answer
    x = 174,493,338.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.