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Finding the Third Proportional to 135,163,485 and 209,386,003.50

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Solution

The third proportional to 135,163,485 and 209,386,003.50 is: 324,366,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,163,485 : 209,386,003.50 = 209,386,003.50 : x
  2. Step 2: Convert to fraction form
    135,163,485/209,386,003.50 = 209,386,003.50/x
  3. Step 3: Cross multiply
    135,163,485x = 209,386,003.50 × 209,386,003.50
  4. Step 4: Simplify right side
    135,163,485x = 43,842,498,461,702,016
  5. Step 5: Solve for x
    x = 43,842,498,461,702,016/135,163,485
  6. Step 6: Final answer
    x = 324,366,440.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.