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Finding the Third Proportional to 70,217 and 153,570.50

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Solution

The third proportional to 70,217 and 153,570.50 is: 335,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,217 : 153,570.50 = 153,570.50 : x
  2. Step 2: Convert to fraction form
    70,217/153,570.50 = 153,570.50/x
  3. Step 3: Cross multiply
    70,217x = 153,570.50 × 153,570.50
  4. Step 4: Simplify right side
    70,217x = 23,583,898,470.25
  5. Step 5: Solve for x
    x = 23,583,898,470.25/70,217
  6. Step 6: Final answer
    x = 335,871.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.