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Finding the Third Proportional to 45,028,324 and 106,189,300

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Solution

The third proportional to 45,028,324 and 106,189,300 is: 250,423,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028,324 : 106,189,300 = 106,189,300 : x
  2. Step 2: Convert to fraction form
    45,028,324/106,189,300 = 106,189,300/x
  3. Step 3: Cross multiply
    45,028,324x = 106,189,300 × 106,189,300
  4. Step 4: Simplify right side
    45,028,324x = 11,276,167,434,490,000
  5. Step 5: Solve for x
    x = 11,276,167,434,490,000/45,028,324
  6. Step 6: Final answer
    x = 250,423,876.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.