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Finding the Third Proportional to 200,941,120.05 and 432,671,680.34

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Solution

The third proportional to 200,941,120.05 and 432,671,680.34 is: 931,639,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941,120.05 : 432,671,680.34 = 432,671,680.34 : x
  2. Step 2: Convert to fraction form
    200,941,120.05/432,671,680.34 = 432,671,680.34/x
  3. Step 3: Cross multiply
    200,941,120.05x = 432,671,680.34 × 432,671,680.34
  4. Step 4: Simplify right side
    200,941,120.05x = 187,204,782,964,725,856
  5. Step 5: Solve for x
    x = 187,204,782,964,725,856/200,941,120.05
  6. Step 6: Final answer
    x = 931,639,989.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.