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Finding the Third Proportional to 160,126,315 and 324,708,332

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Solution

The third proportional to 160,126,315 and 324,708,332 is: 658,452,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,126,315 : 324,708,332 = 324,708,332 : x
  2. Step 2: Convert to fraction form
    160,126,315/324,708,332 = 324,708,332/x
  3. Step 3: Cross multiply
    160,126,315x = 324,708,332 × 324,708,332
  4. Step 4: Simplify right side
    160,126,315x = 105,435,500,870,222,224
  5. Step 5: Solve for x
    x = 105,435,500,870,222,224/160,126,315
  6. Step 6: Final answer
    x = 658,452,053.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.