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Finding the Third Proportional to 103,049,822 and 222,242,175

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Solution

The third proportional to 103,049,822 and 222,242,175 is: 479,298,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,049,822 : 222,242,175 = 222,242,175 : x
  2. Step 2: Convert to fraction form
    103,049,822/222,242,175 = 222,242,175/x
  3. Step 3: Cross multiply
    103,049,822x = 222,242,175 × 222,242,175
  4. Step 4: Simplify right side
    103,049,822x = 49,391,584,348,730,624
  5. Step 5: Solve for x
    x = 49,391,584,348,730,624/103,049,822
  6. Step 6: Final answer
    x = 479,298,104.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.