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Finding the Third Proportional to 108,837,814 and 236,806,770

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Solution

The third proportional to 108,837,814 and 236,806,770 is: 515,238,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837,814 : 236,806,770 = 236,806,770 : x
  2. Step 2: Convert to fraction form
    108,837,814/236,806,770 = 236,806,770/x
  3. Step 3: Cross multiply
    108,837,814x = 236,806,770 × 236,806,770
  4. Step 4: Simplify right side
    108,837,814x = 56,077,446,317,832,896
  5. Step 5: Solve for x
    x = 56,077,446,317,832,896/108,837,814
  6. Step 6: Final answer
    x = 515,238,631.29

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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.