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Finding the Third Proportional to 106,935,648 and 229,218,702

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Solution

The third proportional to 106,935,648 and 229,218,702 is: 491,334,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935,648 : 229,218,702 = 229,218,702 : x
  2. Step 2: Convert to fraction form
    106,935,648/229,218,702 = 229,218,702/x
  3. Step 3: Cross multiply
    106,935,648x = 229,218,702 × 229,218,702
  4. Step 4: Simplify right side
    106,935,648x = 52,541,213,346,564,800
  5. Step 5: Solve for x
    x = 52,541,213,346,564,800/106,935,648
  6. Step 6: Final answer
    x = 491,334,875.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.