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Finding the Third Proportional to 133,602,106 and 206,867,958

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Solution

The third proportional to 133,602,106 and 206,867,958 is: 320,311,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602,106 : 206,867,958 = 206,867,958 : x
  2. Step 2: Convert to fraction form
    133,602,106/206,867,958 = 206,867,958/x
  3. Step 3: Cross multiply
    133,602,106x = 206,867,958 × 206,867,958
  4. Step 4: Simplify right side
    133,602,106x = 42,794,352,047,089,760
  5. Step 5: Solve for x
    x = 42,794,352,047,089,760/133,602,106
  6. Step 6: Final answer
    x = 320,311,957.11

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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.