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Finding the Third Proportional to 109,609,674 and 228,287,304

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Solution

The third proportional to 109,609,674 and 228,287,304 is: 475,460,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609,674 : 228,287,304 = 228,287,304 : x
  2. Step 2: Convert to fraction form
    109,609,674/228,287,304 = 228,287,304/x
  3. Step 3: Cross multiply
    109,609,674x = 228,287,304 × 228,287,304
  4. Step 4: Simplify right side
    109,609,674x = 52,115,093,167,588,416
  5. Step 5: Solve for x
    x = 52,115,093,167,588,416/109,609,674
  6. Step 6: Final answer
    x = 475,460,707.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.