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Finding the Third Proportional to 66,230 and 141,929.50

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Solution

The third proportional to 66,230 and 141,929.50 is: 304,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,230 : 141,929.50 = 141,929.50 : x
  2. Step 2: Convert to fraction form
    66,230/141,929.50 = 141,929.50/x
  3. Step 3: Cross multiply
    66,230x = 141,929.50 × 141,929.50
  4. Step 4: Simplify right side
    66,230x = 20,143,982,970.25
  5. Step 5: Solve for x
    x = 20,143,982,970.25/66,230
  6. Step 6: Final answer
    x = 304,151.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.