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Finding the Third Proportional to 109,230.50 and 147,577.50

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Solution

The third proportional to 109,230.50 and 147,577.50 is: 199,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,230.50 : 147,577.50 = 147,577.50 : x
  2. Step 2: Convert to fraction form
    109,230.50/147,577.50 = 147,577.50/x
  3. Step 3: Cross multiply
    109,230.50x = 147,577.50 × 147,577.50
  4. Step 4: Simplify right side
    109,230.50x = 21,779,118,506.25
  5. Step 5: Solve for x
    x = 21,779,118,506.25/109,230.50
  6. Step 6: Final answer
    x = 199,386.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.