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Finding the Third Proportional to 150,847,913.25 and 230,657,901.75

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Solution

The third proportional to 150,847,913.25 and 230,657,901.75 is: 352,693,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847,913.25 : 230,657,901.75 = 230,657,901.75 : x
  2. Step 2: Convert to fraction form
    150,847,913.25/230,657,901.75 = 230,657,901.75/x
  3. Step 3: Cross multiply
    150,847,913.25x = 230,657,901.75 × 230,657,901.75
  4. Step 4: Simplify right side
    150,847,913.25x = 53,203,067,639,712,656
  5. Step 5: Solve for x
    x = 53,203,067,639,712,656/150,847,913.25
  6. Step 6: Final answer
    x = 352,693,428.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.