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Finding the Third Proportional to 103,617,588 and 224,718,100

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Solution

The third proportional to 103,617,588 and 224,718,100 is: 487,351,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617,588 : 224,718,100 = 224,718,100 : x
  2. Step 2: Convert to fraction form
    103,617,588/224,718,100 = 224,718,100/x
  3. Step 3: Cross multiply
    103,617,588x = 224,718,100 × 224,718,100
  4. Step 4: Simplify right side
    103,617,588x = 50,498,224,467,610,000
  5. Step 5: Solve for x
    x = 50,498,224,467,610,000/103,617,588
  6. Step 6: Final answer
    x = 487,351,862.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.