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Finding the Third Proportional to 86,461,064.25 and 188,273,753.25

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Solution

The third proportional to 86,461,064.25 and 188,273,753.25 is: 409,976,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461,064.25 : 188,273,753.25 = 188,273,753.25 : x
  2. Step 2: Convert to fraction form
    86,461,064.25/188,273,753.25 = 188,273,753.25/x
  3. Step 3: Cross multiply
    86,461,064.25x = 188,273,753.25 × 188,273,753.25
  4. Step 4: Simplify right side
    86,461,064.25x = 35,447,006,162,841,884
  5. Step 5: Solve for x
    x = 35,447,006,162,841,884/86,461,064.25
  6. Step 6: Final answer
    x = 409,976,519.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.