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Finding the Third Proportional to 132,693,040 and 207,702,768

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Solution

The third proportional to 132,693,040 and 207,702,768 is: 325,114,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,693,040 : 207,702,768 = 207,702,768 : x
  2. Step 2: Convert to fraction form
    132,693,040/207,702,768 = 207,702,768/x
  3. Step 3: Cross multiply
    132,693,040x = 207,702,768 × 207,702,768
  4. Step 4: Simplify right side
    132,693,040x = 43,140,439,834,861,824
  5. Step 5: Solve for x
    x = 43,140,439,834,861,824/132,693,040
  6. Step 6: Final answer
    x = 325,114,563.92

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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.