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Finding the Third Proportional to 105,841,107 and 227,897,712

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Solution

The third proportional to 105,841,107 and 227,897,712 is: 490,710,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841,107 : 227,897,712 = 227,897,712 : x
  2. Step 2: Convert to fraction form
    105,841,107/227,897,712 = 227,897,712/x
  3. Step 3: Cross multiply
    105,841,107x = 227,897,712 × 227,897,712
  4. Step 4: Simplify right side
    105,841,107x = 51,937,367,134,834,944
  5. Step 5: Solve for x
    x = 51,937,367,134,834,944/105,841,107
  6. Step 6: Final answer
    x = 490,710,732.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.