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Finding the Third Proportional to 209,696,736 and 456,209,372

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Solution

The third proportional to 209,696,736 and 456,209,372 is: 992,514,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696,736 : 456,209,372 = 456,209,372 : x
  2. Step 2: Convert to fraction form
    209,696,736/456,209,372 = 456,209,372/x
  3. Step 3: Cross multiply
    209,696,736x = 456,209,372 × 456,209,372
  4. Step 4: Simplify right side
    209,696,736x = 208,126,991,100,634,368
  5. Step 5: Solve for x
    x = 208,126,991,100,634,368/209,696,736
  6. Step 6: Final answer
    x = 992,514,213.96

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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.