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Finding the Third Proportional to 229,619,895 and 354,582,580

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Solution

The third proportional to 229,619,895 and 354,582,580 is: 547,551,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,619,895 : 354,582,580 = 354,582,580 : x
  2. Step 2: Convert to fraction form
    229,619,895/354,582,580 = 354,582,580/x
  3. Step 3: Cross multiply
    229,619,895x = 354,582,580 × 354,582,580
  4. Step 4: Simplify right side
    229,619,895x = 125,728,806,039,456,400
  5. Step 5: Solve for x
    x = 125,728,806,039,456,400/229,619,895
  6. Step 6: Final answer
    x = 547,551,883.69

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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.