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Finding the Third Proportional to 120,011,364 and 261,828,299

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Solution

The third proportional to 120,011,364 and 261,828,299 is: 571,229,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,011,364 : 261,828,299 = 261,828,299 : x
  2. Step 2: Convert to fraction form
    120,011,364/261,828,299 = 261,828,299/x
  3. Step 3: Cross multiply
    120,011,364x = 261,828,299 × 261,828,299
  4. Step 4: Simplify right side
    120,011,364x = 68,554,058,157,233,400
  5. Step 5: Solve for x
    x = 68,554,058,157,233,400/120,011,364
  6. Step 6: Final answer
    x = 571,229,722.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.