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Finding the Third Proportional to 65,435,046.64 and 141,775,529.87

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Solution

The third proportional to 65,435,046.64 and 141,775,529.87 is: 307,179,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,046.64 : 141,775,529.87 = 141,775,529.87 : x
  2. Step 2: Convert to fraction form
    65,435,046.64/141,775,529.87 = 141,775,529.87/x
  3. Step 3: Cross multiply
    65,435,046.64x = 141,775,529.87 × 141,775,529.87
  4. Step 4: Simplify right side
    65,435,046.64x = 20,100,300,870,228,332
  5. Step 5: Solve for x
    x = 20,100,300,870,228,332/65,435,046.64
  6. Step 6: Final answer
    x = 307,179,438.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.