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Finding the Third Proportional to 103,663,404 and 226,852,348

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Solution

The third proportional to 103,663,404 and 226,852,348 is: 496,433,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,404 : 226,852,348 = 226,852,348 : x
  2. Step 2: Convert to fraction form
    103,663,404/226,852,348 = 226,852,348/x
  3. Step 3: Cross multiply
    103,663,404x = 226,852,348 × 226,852,348
  4. Step 4: Simplify right side
    103,663,404x = 51,461,987,793,113,104
  5. Step 5: Solve for x
    x = 51,461,987,793,113,104/103,663,404
  6. Step 6: Final answer
    x = 496,433,512.77

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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.