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Finding the Third Proportional to 102,892,065.75 and 220,703,842.13

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Solution

The third proportional to 102,892,065.75 and 220,703,842.13 is: 473,410,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892,065.75 : 220,703,842.13 = 220,703,842.13 : x
  2. Step 2: Convert to fraction form
    102,892,065.75/220,703,842.13 = 220,703,842.13/x
  3. Step 3: Cross multiply
    102,892,065.75x = 220,703,842.13 × 220,703,842.13
  4. Step 4: Simplify right side
    102,892,065.75x = 48,710,185,928,736,928
  5. Step 5: Solve for x
    x = 48,710,185,928,736,928/102,892,065.75
  6. Step 6: Final answer
    x = 473,410,515.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.