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Finding the Third Proportional to 223,035,465 and 464,399,905.50

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Solution

The third proportional to 223,035,465 and 464,399,905.50 is: 966,964,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,035,465 : 464,399,905.50 = 464,399,905.50 : x
  2. Step 2: Convert to fraction form
    223,035,465/464,399,905.50 = 464,399,905.50/x
  3. Step 3: Cross multiply
    223,035,465x = 464,399,905.50 × 464,399,905.50
  4. Step 4: Simplify right side
    223,035,465x = 215,667,272,228,408,928
  5. Step 5: Solve for x
    x = 215,667,272,228,408,928/223,035,465
  6. Step 6: Final answer
    x = 966,964,030.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.