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Finding the Third Proportional to 86,959,325.25 and 189,543,537

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Solution

The third proportional to 86,959,325.25 and 189,543,537 is: 413,144,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,959,325.25 : 189,543,537 = 189,543,537 : x
  2. Step 2: Convert to fraction form
    86,959,325.25/189,543,537 = 189,543,537/x
  3. Step 3: Cross multiply
    86,959,325.25x = 189,543,537 × 189,543,537
  4. Step 4: Simplify right side
    86,959,325.25x = 35,926,752,418,470,368
  5. Step 5: Solve for x
    x = 35,926,752,418,470,368/86,959,325.25
  6. Step 6: Final answer
    x = 413,144,332.88

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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.