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Finding the Third Proportional to 226,293,135.50 and 488,645,527

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Solution

The third proportional to 226,293,135.50 and 488,645,527 is: 1,055,155,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,293,135.50 : 488,645,527 = 488,645,527 : x
  2. Step 2: Convert to fraction form
    226,293,135.50/488,645,527 = 488,645,527/x
  3. Step 3: Cross multiply
    226,293,135.50x = 488,645,527 × 488,645,527
  4. Step 4: Simplify right side
    226,293,135.50x = 238,774,451,057,107,744
  5. Step 5: Solve for x
    x = 238,774,451,057,107,744/226,293,135.50
  6. Step 6: Final answer
    x = 1,055,155,519.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.