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Finding the Third Proportional to 224,156,558.25 and 462,637,460.25

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Solution

The third proportional to 224,156,558.25 and 462,637,460.25 is: 954,838,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,156,558.25 : 462,637,460.25 = 462,637,460.25 : x
  2. Step 2: Convert to fraction form
    224,156,558.25/462,637,460.25 = 462,637,460.25/x
  3. Step 3: Cross multiply
    224,156,558.25x = 462,637,460.25 × 462,637,460.25
  4. Step 4: Simplify right side
    224,156,558.25x = 214,033,419,626,570,336
  5. Step 5: Solve for x
    x = 214,033,419,626,570,336/224,156,558.25
  6. Step 6: Final answer
    x = 954,838,980.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.