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Finding the Third Proportional to 103,473,640 and 225,318,082

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Solution

The third proportional to 103,473,640 and 225,318,082 is: 490,639,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,473,640 : 225,318,082 = 225,318,082 : x
  2. Step 2: Convert to fraction form
    103,473,640/225,318,082 = 225,318,082/x
  3. Step 3: Cross multiply
    103,473,640x = 225,318,082 × 225,318,082
  4. Step 4: Simplify right side
    103,473,640x = 50,768,238,076,158,720
  5. Step 5: Solve for x
    x = 50,768,238,076,158,720/103,473,640
  6. Step 6: Final answer
    x = 490,639,336.51

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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.