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Finding the Third Proportional to 137,637 and 218,983.50

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Solution

The third proportional to 137,637 and 218,983.50 is: 348,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,637 : 218,983.50 = 218,983.50 : x
  2. Step 2: Convert to fraction form
    137,637/218,983.50 = 218,983.50/x
  3. Step 3: Cross multiply
    137,637x = 218,983.50 × 218,983.50
  4. Step 4: Simplify right side
    137,637x = 47,953,773,272.25
  5. Step 5: Solve for x
    x = 47,953,773,272.25/137,637
  6. Step 6: Final answer
    x = 348,407.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.