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Finding the Third Proportional to 103,663,472 and 226,852,484

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Solution

The third proportional to 103,663,472 and 226,852,484 is: 496,433,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,472 : 226,852,484 = 226,852,484 : x
  2. Step 2: Convert to fraction form
    103,663,472/226,852,484 = 226,852,484/x
  3. Step 3: Cross multiply
    103,663,472x = 226,852,484 × 226,852,484
  4. Step 4: Simplify right side
    103,663,472x = 51,462,049,496,970,256
  5. Step 5: Solve for x
    x = 51,462,049,496,970,256/103,663,472
  6. Step 6: Final answer
    x = 496,433,782.35

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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.