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Finding the Third Proportional to 108,837,784 and 236,806,714

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Solution

The third proportional to 108,837,784 and 236,806,714 is: 515,238,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837,784 : 236,806,714 = 236,806,714 : x
  2. Step 2: Convert to fraction form
    108,837,784/236,806,714 = 236,806,714/x
  3. Step 3: Cross multiply
    108,837,784x = 236,806,714 × 236,806,714
  4. Step 4: Simplify right side
    108,837,784x = 56,077,419,795,477,792
  5. Step 5: Solve for x
    x = 56,077,419,795,477,792/108,837,784
  6. Step 6: Final answer
    x = 515,238,529.62

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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.