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Finding the Third Proportional to 45,028,254 and 106,189,128

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Solution

The third proportional to 45,028,254 and 106,189,128 is: 250,423,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028,254 : 106,189,128 = 106,189,128 : x
  2. Step 2: Convert to fraction form
    45,028,254/106,189,128 = 106,189,128/x
  3. Step 3: Cross multiply
    45,028,254x = 106,189,128 × 106,189,128
  4. Step 4: Simplify right side
    45,028,254x = 11,276,130,905,400,384
  5. Step 5: Solve for x
    x = 11,276,130,905,400,384/45,028,254
  6. Step 6: Final answer
    x = 250,423,454.25

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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.