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Finding the Third Proportional to 134,769,681 and 207,022,716

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Solution

The third proportional to 134,769,681 and 207,022,716 is: 318,012,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,769,681 : 207,022,716 = 207,022,716 : x
  2. Step 2: Convert to fraction form
    134,769,681/207,022,716 = 207,022,716/x
  3. Step 3: Cross multiply
    134,769,681x = 207,022,716 × 207,022,716
  4. Step 4: Simplify right side
    134,769,681x = 42,858,404,940,016,656
  5. Step 5: Solve for x
    x = 42,858,404,940,016,656/134,769,681
  6. Step 6: Final answer
    x = 318,012,216.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.