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Finding the Third Proportional to 145,108.13 and 219,852.98

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Solution

The third proportional to 145,108.13 and 219,852.98 is: 333,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.13 : 219,852.98 = 219,852.98 : x
  2. Step 2: Convert to fraction form
    145,108.13/219,852.98 = 219,852.98/x
  3. Step 3: Cross multiply
    145,108.13x = 219,852.98 × 219,852.98
  4. Step 4: Simplify right side
    145,108.13x = 48,335,334,738.59
  5. Step 5: Solve for x
    x = 48,335,334,738.59/145,108.13
  6. Step 6: Final answer
    x = 333,098.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.