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Finding the Third Proportional to 101,706,281.25 and 220,750,848

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Solution

The third proportional to 101,706,281.25 and 220,750,848 is: 479,133,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706,281.25 : 220,750,848 = 220,750,848 : x
  2. Step 2: Convert to fraction form
    101,706,281.25/220,750,848 = 220,750,848/x
  3. Step 3: Cross multiply
    101,706,281.25x = 220,750,848 × 220,750,848
  4. Step 4: Simplify right side
    101,706,281.25x = 48,730,936,892,719,104
  5. Step 5: Solve for x
    x = 48,730,936,892,719,104/101,706,281.25
  6. Step 6: Final answer
    x = 479,133,995.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.