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Finding the Third Proportional to 229,695,750 and 353,058,966

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Solution

The third proportional to 229,695,750 and 353,058,966 is: 542,677,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,695,750 : 353,058,966 = 353,058,966 : x
  2. Step 2: Convert to fraction form
    229,695,750/353,058,966 = 353,058,966/x
  3. Step 3: Cross multiply
    229,695,750x = 353,058,966 × 353,058,966
  4. Step 4: Simplify right side
    229,695,750x = 124,650,633,472,989,152
  5. Step 5: Solve for x
    x = 124,650,633,472,989,152/229,695,750
  6. Step 6: Final answer
    x = 542,677,143.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.