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Finding the Third Proportional to 49,074,655 and 103,226,073

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Solution

The third proportional to 49,074,655 and 103,226,073 is: 217,130,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074,655 : 103,226,073 = 103,226,073 : x
  2. Step 2: Convert to fraction form
    49,074,655/103,226,073 = 103,226,073/x
  3. Step 3: Cross multiply
    49,074,655x = 103,226,073 × 103,226,073
  4. Step 4: Simplify right side
    49,074,655x = 10,655,622,147,001,328
  5. Step 5: Solve for x
    x = 10,655,622,147,001,328/49,074,655
  6. Step 6: Final answer
    x = 217,130,862.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.