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Finding the Third Proportional to 105,654,950 and 228,897,632

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Solution

The third proportional to 105,654,950 and 228,897,632 is: 495,898,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654,950 : 228,897,632 = 228,897,632 : x
  2. Step 2: Convert to fraction form
    105,654,950/228,897,632 = 228,897,632/x
  3. Step 3: Cross multiply
    105,654,950x = 228,897,632 × 228,897,632
  4. Step 4: Simplify right side
    105,654,950x = 52,394,125,935,207,424
  5. Step 5: Solve for x
    x = 52,394,125,935,207,424/105,654,950
  6. Step 6: Final answer
    x = 495,898,449.96

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Why These Related Problems?

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