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Finding the Third Proportional to 180,811,166 and 392,445,952

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Solution

The third proportional to 180,811,166 and 392,445,952 is: 851,793,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811,166 : 392,445,952 = 392,445,952 : x
  2. Step 2: Convert to fraction form
    180,811,166/392,445,952 = 392,445,952/x
  3. Step 3: Cross multiply
    180,811,166x = 392,445,952 × 392,445,952
  4. Step 4: Simplify right side
    180,811,166x = 154,013,825,241,186,304
  5. Step 5: Solve for x
    x = 154,013,825,241,186,304/180,811,166
  6. Step 6: Final answer
    x = 851,793,772.74

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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.