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Finding the Third Proportional to 180,809,901 and 392,443,377.75

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Solution

The third proportional to 180,809,901 and 392,443,377.75 is: 851,788,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,901 : 392,443,377.75 = 392,443,377.75 : x
  2. Step 2: Convert to fraction form
    180,809,901/392,443,377.75 = 392,443,377.75/x
  3. Step 3: Cross multiply
    180,809,901x = 392,443,377.75 × 392,443,377.75
  4. Step 4: Simplify right side
    180,809,901x = 154,011,804,739,829,184
  5. Step 5: Solve for x
    x = 154,011,804,739,829,184/180,809,901
  6. Step 6: Final answer
    x = 851,788,557.42

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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.