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Finding the Third Proportional to 132,402,066 and 206,649,639

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Solution

The third proportional to 132,402,066 and 206,649,639 is: 322,533,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,402,066 : 206,649,639 = 206,649,639 : x
  2. Step 2: Convert to fraction form
    132,402,066/206,649,639 = 206,649,639/x
  3. Step 3: Cross multiply
    132,402,066x = 206,649,639 × 206,649,639
  4. Step 4: Simplify right side
    132,402,066x = 42,704,073,298,830,320
  5. Step 5: Solve for x
    x = 42,704,073,298,830,320/132,402,066
  6. Step 6: Final answer
    x = 322,533,285.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.