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Finding the Third Proportional to 105,521,969 and 229,092,034

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Solution

The third proportional to 105,521,969 and 229,092,034 is: 497,367,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521,969 : 229,092,034 = 229,092,034 : x
  2. Step 2: Convert to fraction form
    105,521,969/229,092,034 = 229,092,034/x
  3. Step 3: Cross multiply
    105,521,969x = 229,092,034 × 229,092,034
  4. Step 4: Simplify right side
    105,521,969x = 52,483,160,042,257,152
  5. Step 5: Solve for x
    x = 52,483,160,042,257,152/105,521,969
  6. Step 6: Final answer
    x = 497,367,141.08

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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.