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Finding the Third Proportional to 132,423,126.75 and 206,681,037.75

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Solution

The third proportional to 132,423,126.75 and 206,681,037.75 is: 322,579,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,423,126.75 : 206,681,037.75 = 206,681,037.75 : x
  2. Step 2: Convert to fraction form
    132,423,126.75/206,681,037.75 = 206,681,037.75/x
  3. Step 3: Cross multiply
    132,423,126.75x = 206,681,037.75 × 206,681,037.75
  4. Step 4: Simplify right side
    132,423,126.75x = 42,717,051,365,416,928
  5. Step 5: Solve for x
    x = 42,717,051,365,416,928/132,423,126.75
  6. Step 6: Final answer
    x = 322,579,993.49

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