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Finding the Third Proportional to 123,424,212.38 and 265,423,344.75

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Solution

The third proportional to 123,424,212.38 and 265,423,344.75 is: 570,791,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,424,212.38 : 265,423,344.75 = 265,423,344.75 : x
  2. Step 2: Convert to fraction form
    123,424,212.38/265,423,344.75 = 265,423,344.75/x
  3. Step 3: Cross multiply
    123,424,212.38x = 265,423,344.75 × 265,423,344.75
  4. Step 4: Simplify right side
    123,424,212.38x = 70,449,551,938,277,352
  5. Step 5: Solve for x
    x = 70,449,551,938,277,352/123,424,212.38
  6. Step 6: Final answer
    x = 570,791,991.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.