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Finding the Third Proportional to 45,028,312 and 106,189,270

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Solution

The third proportional to 45,028,312 and 106,189,270 is: 250,423,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028,312 : 106,189,270 = 106,189,270 : x
  2. Step 2: Convert to fraction form
    45,028,312/106,189,270 = 106,189,270/x
  3. Step 3: Cross multiply
    45,028,312x = 106,189,270 × 106,189,270
  4. Step 4: Simplify right side
    45,028,312x = 11,276,161,063,132,900
  5. Step 5: Solve for x
    x = 11,276,161,063,132,900/45,028,312
  6. Step 6: Final answer
    x = 250,423,801.43

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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.