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Finding the Third Proportional to 103,295.25 and 153,032.63

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Solution

The third proportional to 103,295.25 and 153,032.63 is: 226,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,295.25 : 153,032.63 = 153,032.63 : x
  2. Step 2: Convert to fraction form
    103,295.25/153,032.63 = 153,032.63/x
  3. Step 3: Cross multiply
    103,295.25x = 153,032.63 × 153,032.63
  4. Step 4: Simplify right side
    103,295.25x = 23,418,984,314.39
  5. Step 5: Solve for x
    x = 23,418,984,314.39/103,295.25
  6. Step 6: Final answer
    x = 226,718.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.