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Finding the Third Proportional to 103,695,416 and 222,181,554

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Solution

The third proportional to 103,695,416 and 222,181,554 is: 476,054,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695,416 : 222,181,554 = 222,181,554 : x
  2. Step 2: Convert to fraction form
    103,695,416/222,181,554 = 222,181,554/x
  3. Step 3: Cross multiply
    103,695,416x = 222,181,554 × 222,181,554
  4. Step 4: Simplify right side
    103,695,416x = 49,364,642,937,854,912
  5. Step 5: Solve for x
    x = 49,364,642,937,854,912/103,695,416
  6. Step 6: Final answer
    x = 476,054,244.65

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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.