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Finding the Third Proportional to 218,485,870 and 468,135,734

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Solution

The third proportional to 218,485,870 and 468,135,734 is: 1,003,044,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,870 : 468,135,734 = 468,135,734 : x
  2. Step 2: Convert to fraction form
    218,485,870/468,135,734 = 468,135,734/x
  3. Step 3: Cross multiply
    218,485,870x = 468,135,734 × 468,135,734
  4. Step 4: Simplify right side
    218,485,870x = 219,151,065,447,718,752
  5. Step 5: Solve for x
    x = 219,151,065,447,718,752/218,485,870
  6. Step 6: Final answer
    x = 1,003,044,569.65

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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.