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Finding the Third Proportional to 103,663,434 and 226,852,408

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Solution

The third proportional to 103,663,434 and 226,852,408 is: 496,433,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,434 : 226,852,408 = 226,852,408 : x
  2. Step 2: Convert to fraction form
    103,663,434/226,852,408 = 226,852,408/x
  3. Step 3: Cross multiply
    103,663,434x = 226,852,408 × 226,852,408
  4. Step 4: Simplify right side
    103,663,434x = 51,462,015,015,398,464
  5. Step 5: Solve for x
    x = 51,462,015,015,398,464/103,663,434
  6. Step 6: Final answer
    x = 496,433,631.70

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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.