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Finding the Third Proportional to 135,109,399.50 and 294,993,134.50

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Solution

The third proportional to 135,109,399.50 and 294,993,134.50 is: 644,077,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,109,399.50 : 294,993,134.50 = 294,993,134.50 : x
  2. Step 2: Convert to fraction form
    135,109,399.50/294,993,134.50 = 294,993,134.50/x
  3. Step 3: Cross multiply
    135,109,399.50x = 294,993,134.50 × 294,993,134.50
  4. Step 4: Simplify right side
    135,109,399.50x = 87,020,949,402,135,088
  5. Step 5: Solve for x
    x = 87,020,949,402,135,088/135,109,399.50
  6. Step 6: Final answer
    x = 644,077,686.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.