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Finding the Third Proportional to 200,831,764 and 310,336,224

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Solution

The third proportional to 200,831,764 and 310,336,224 is: 479,548,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,764 : 310,336,224 = 310,336,224 : x
  2. Step 2: Convert to fraction form
    200,831,764/310,336,224 = 310,336,224/x
  3. Step 3: Cross multiply
    200,831,764x = 310,336,224 × 310,336,224
  4. Step 4: Simplify right side
    200,831,764x = 96,308,571,926,578,176
  5. Step 5: Solve for x
    x = 96,308,571,926,578,176/200,831,764
  6. Step 6: Final answer
    x = 479,548,503.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.