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Finding the Third Proportional to 229,699,514 and 353,064,063

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Solution

The third proportional to 229,699,514 and 353,064,063 is: 542,683,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,699,514 : 353,064,063 = 353,064,063 : x
  2. Step 2: Convert to fraction form
    229,699,514/353,064,063 = 353,064,063/x
  3. Step 3: Cross multiply
    229,699,514x = 353,064,063 × 353,064,063
  4. Step 4: Simplify right side
    229,699,514x = 124,654,232,582,067,968
  5. Step 5: Solve for x
    x = 124,654,232,582,067,968/229,699,514
  6. Step 6: Final answer
    x = 542,683,919.58

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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.