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Finding the Third Proportional to 105,521,953.50 and 229,092,003

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Solution

The third proportional to 105,521,953.50 and 229,092,003 is: 497,367,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521,953.50 : 229,092,003 = 229,092,003 : x
  2. Step 2: Convert to fraction form
    105,521,953.50/229,092,003 = 229,092,003/x
  3. Step 3: Cross multiply
    105,521,953.50x = 229,092,003 × 229,092,003
  4. Step 4: Simplify right side
    105,521,953.50x = 52,483,145,838,552,008
  5. Step 5: Solve for x
    x = 52,483,145,838,552,008/105,521,953.50
  6. Step 6: Final answer
    x = 497,367,079.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.