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Finding the Third Proportional to 197,925,160 and 409,427,216

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Solution

The third proportional to 197,925,160 and 409,427,216 is: 846,939,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,925,160 : 409,427,216 = 409,427,216 : x
  2. Step 2: Convert to fraction form
    197,925,160/409,427,216 = 409,427,216/x
  3. Step 3: Cross multiply
    197,925,160x = 409,427,216 × 409,427,216
  4. Step 4: Simplify right side
    197,925,160x = 167,630,645,201,510,656
  5. Step 5: Solve for x
    x = 167,630,645,201,510,656/197,925,160
  6. Step 6: Final answer
    x = 846,939,546.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.