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Finding the Third Proportional to 209,936,225 and 458,076,914

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Solution

The third proportional to 209,936,225 and 458,076,914 is: 999,515,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,936,225 : 458,076,914 = 458,076,914 : x
  2. Step 2: Convert to fraction form
    209,936,225/458,076,914 = 458,076,914/x
  3. Step 3: Cross multiply
    209,936,225x = 458,076,914 × 458,076,914
  4. Step 4: Simplify right side
    209,936,225x = 209,834,459,139,763,392
  5. Step 5: Solve for x
    x = 209,834,459,139,763,392/209,936,225
  6. Step 6: Final answer
    x = 999,515,253.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.