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Finding the Third Proportional to 103,458,370.50 and 172,423,309.50

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Solution

The third proportional to 103,458,370.50 and 172,423,309.50 is: 287,360,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,458,370.50 : 172,423,309.50 = 172,423,309.50 : x
  2. Step 2: Convert to fraction form
    103,458,370.50/172,423,309.50 = 172,423,309.50/x
  3. Step 3: Cross multiply
    103,458,370.50x = 172,423,309.50 × 172,423,309.50
  4. Step 4: Simplify right side
    103,458,370.50x = 29,729,797,658,932,792
  5. Step 5: Solve for x
    x = 29,729,797,658,932,792/103,458,370.50
  6. Step 6: Final answer
    x = 287,360,003.02

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.