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Finding the Third Proportional to 106,275,146.50 and 173,537,743

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Solution

The third proportional to 106,275,146.50 and 173,537,743 is: 283,371,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,275,146.50 : 173,537,743 = 173,537,743 : x
  2. Step 2: Convert to fraction form
    106,275,146.50/173,537,743 = 173,537,743/x
  3. Step 3: Cross multiply
    106,275,146.50x = 173,537,743 × 173,537,743
  4. Step 4: Simplify right side
    106,275,146.50x = 30,115,348,245,534,048
  5. Step 5: Solve for x
    x = 30,115,348,245,534,048/106,275,146.50
  6. Step 6: Final answer
    x = 283,371,505.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.