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Finding the Third Proportional to 83,563,581 and 183,269,713

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Solution

The third proportional to 83,563,581 and 183,269,713 is: 401,942,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563,581 : 183,269,713 = 183,269,713 : x
  2. Step 2: Convert to fraction form
    83,563,581/183,269,713 = 183,269,713/x
  3. Step 3: Cross multiply
    83,563,581x = 183,269,713 × 183,269,713
  4. Step 4: Simplify right side
    83,563,581x = 33,587,787,703,102,368
  5. Step 5: Solve for x
    x = 33,587,787,703,102,368/83,563,581
  6. Step 6: Final answer
    x = 401,942,895.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.