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Finding the Third Proportional to 222,242,400 and 478,619,326.50

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Solution

The third proportional to 222,242,400 and 478,619,326.50 is: 1,030,750,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,242,400 : 478,619,326.50 = 478,619,326.50 : x
  2. Step 2: Convert to fraction form
    222,242,400/478,619,326.50 = 478,619,326.50/x
  3. Step 3: Cross multiply
    222,242,400x = 478,619,326.50 × 478,619,326.50
  4. Step 4: Simplify right side
    222,242,400x = 229,076,459,699,313,600
  5. Step 5: Solve for x
    x = 229,076,459,699,313,600/222,242,400
  6. Step 6: Final answer
    x = 1,030,750,476.50

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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.