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Finding the Third Proportional to 103,617,590 and 224,718,104

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Solution

The third proportional to 103,617,590 and 224,718,104 is: 487,351,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617,590 : 224,718,104 = 224,718,104 : x
  2. Step 2: Convert to fraction form
    103,617,590/224,718,104 = 224,718,104/x
  3. Step 3: Cross multiply
    103,617,590x = 224,718,104 × 224,718,104
  4. Step 4: Simplify right side
    103,617,590x = 50,498,226,265,354,816
  5. Step 5: Solve for x
    x = 50,498,226,265,354,816/103,617,590
  6. Step 6: Final answer
    x = 487,351,870.13

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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.