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Finding the Third Proportional to 222,406,084.13 and 463,219,786.13

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Solution

The third proportional to 222,406,084.13 and 463,219,786.13 is: 964,778,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,406,084.13 : 463,219,786.13 = 463,219,786.13 : x
  2. Step 2: Convert to fraction form
    222,406,084.13/463,219,786.13 = 463,219,786.13/x
  3. Step 3: Cross multiply
    222,406,084.13x = 463,219,786.13 × 463,219,786.13
  4. Step 4: Simplify right side
    222,406,084.13x = 214,572,570,257,690,752
  5. Step 5: Solve for x
    x = 214,572,570,257,690,752/222,406,084.13
  6. Step 6: Final answer
    x = 964,778,329.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.