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Finding the Third Proportional to 65,906,176 and 137,835,332

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Solution

The third proportional to 65,906,176 and 137,835,332 is: 288,267,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906,176 : 137,835,332 = 137,835,332 : x
  2. Step 2: Convert to fraction form
    65,906,176/137,835,332 = 137,835,332/x
  3. Step 3: Cross multiply
    65,906,176x = 137,835,332 × 137,835,332
  4. Step 4: Simplify right side
    65,906,176x = 18,998,578,747,550,224
  5. Step 5: Solve for x
    x = 18,998,578,747,550,224/65,906,176
  6. Step 6: Final answer
    x = 288,267,047.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.