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Finding the Third Proportional to 105,654,934 and 228,897,600

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Solution

The third proportional to 105,654,934 and 228,897,600 is: 495,898,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654,934 : 228,897,600 = 228,897,600 : x
  2. Step 2: Convert to fraction form
    105,654,934/228,897,600 = 228,897,600/x
  3. Step 3: Cross multiply
    105,654,934x = 228,897,600 × 228,897,600
  4. Step 4: Simplify right side
    105,654,934x = 52,394,111,285,760,000
  5. Step 5: Solve for x
    x = 52,394,111,285,760,000/105,654,934
  6. Step 6: Final answer
    x = 495,898,386.40

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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.