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Finding the Third Proportional to 103,663,394 and 226,852,323

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Solution

The third proportional to 103,663,394 and 226,852,323 is: 496,433,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,394 : 226,852,323 = 226,852,323 : x
  2. Step 2: Convert to fraction form
    103,663,394/226,852,323 = 226,852,323/x
  3. Step 3: Cross multiply
    103,663,394x = 226,852,323 × 226,852,323
  4. Step 4: Simplify right side
    103,663,394x = 51,461,976,450,496,328
  5. Step 5: Solve for x
    x = 51,461,976,450,496,328/103,663,394
  6. Step 6: Final answer
    x = 496,433,451.24

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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.