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Finding the Third Proportional to 103,663,412 and 226,852,364

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Solution

The third proportional to 103,663,412 and 226,852,364 is: 496,433,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,412 : 226,852,364 = 226,852,364 : x
  2. Step 2: Convert to fraction form
    103,663,412/226,852,364 = 226,852,364/x
  3. Step 3: Cross multiply
    103,663,412x = 226,852,364 × 226,852,364
  4. Step 4: Simplify right side
    103,663,412x = 51,461,995,052,388,496
  5. Step 5: Solve for x
    x = 51,461,995,052,388,496/103,663,412
  6. Step 6: Final answer
    x = 496,433,544.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.