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Finding the Third Proportional to 218,842,329 and 468,960,945

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Solution

The third proportional to 218,842,329 and 468,960,945 is: 1,004,944,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,842,329 : 468,960,945 = 468,960,945 : x
  2. Step 2: Convert to fraction form
    218,842,329/468,960,945 = 468,960,945/x
  3. Step 3: Cross multiply
    218,842,329x = 468,960,945 × 468,960,945
  4. Step 4: Simplify right side
    218,842,329x = 219,924,367,935,293,024
  5. Step 5: Solve for x
    x = 219,924,367,935,293,024/218,842,329
  6. Step 6: Final answer
    x = 1,004,944,376.80

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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.