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Finding the Third Proportional to 59,208,305,076 and 129,266,398,608

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Solution

The third proportional to 59,208,305,076 and 129,266,398,608 is: 282,220,573,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,208,305,076 : 129,266,398,608 = 129,266,398,608 : x
  2. Step 2: Convert to fraction form
    59,208,305,076/129,266,398,608 = 129,266,398,608/x
  3. Step 3: Cross multiply
    59,208,305,076x = 129,266,398,608 × 129,266,398,608
  4. Step 4: Simplify right side
    59,208,305,076x = 16,709,801,809,082,344,013,824
  5. Step 5: Solve for x
    x = 16,709,801,809,082,344,013,824/59,208,305,076
  6. Step 6: Final answer
    x = 282,220,573,408.30

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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.