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Finding the Third Proportional to 108,450,120 and 165,216,348

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Solution

The third proportional to 108,450,120 and 165,216,348 is: 251,695,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,450,120 : 165,216,348 = 165,216,348 : x
  2. Step 2: Convert to fraction form
    108,450,120/165,216,348 = 165,216,348/x
  3. Step 3: Cross multiply
    108,450,120x = 165,216,348 × 165,216,348
  4. Step 4: Simplify right side
    108,450,120x = 27,296,441,646,457,104
  5. Step 5: Solve for x
    x = 27,296,441,646,457,104/108,450,120
  6. Step 6: Final answer
    x = 251,695,817.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.