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Finding the Third Proportional to 132,690,039 and 207,697,963.50

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Solution

The third proportional to 132,690,039 and 207,697,963.50 is: 325,106,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,690,039 : 207,697,963.50 = 207,697,963.50 : x
  2. Step 2: Convert to fraction form
    132,690,039/207,697,963.50 = 207,697,963.50/x
  3. Step 3: Cross multiply
    132,690,039x = 207,697,963.50 × 207,697,963.50
  4. Step 4: Simplify right side
    132,690,039x = 43,138,444,042,047,336
  5. Step 5: Solve for x
    x = 43,138,444,042,047,336/132,690,039
  6. Step 6: Final answer
    x = 325,106,875.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.