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Finding the Third Proportional to 45,725,216 and 98,629,600

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Solution

The third proportional to 45,725,216 and 98,629,600 is: 212,744,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,725,216 : 98,629,600 = 98,629,600 : x
  2. Step 2: Convert to fraction form
    45,725,216/98,629,600 = 98,629,600/x
  3. Step 3: Cross multiply
    45,725,216x = 98,629,600 × 98,629,600
  4. Step 4: Simplify right side
    45,725,216x = 9,727,797,996,160,000
  5. Step 5: Solve for x
    x = 9,727,797,996,160,000/45,725,216
  6. Step 6: Final answer
    x = 212,744,713.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.