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Finding the Third Proportional to 195,137,800 and 385,340,432

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Solution

The third proportional to 195,137,800 and 385,340,432 is: 760,935,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,137,800 : 385,340,432 = 385,340,432 : x
  2. Step 2: Convert to fraction form
    195,137,800/385,340,432 = 385,340,432/x
  3. Step 3: Cross multiply
    195,137,800x = 385,340,432 × 385,340,432
  4. Step 4: Simplify right side
    195,137,800x = 148,487,248,533,946,624
  5. Step 5: Solve for x
    x = 148,487,248,533,946,624/195,137,800
  6. Step 6: Final answer
    x = 760,935,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.