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Finding the Third Proportional to 307,368,924.75 and 472,156,263

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Solution

The third proportional to 307,368,924.75 and 472,156,263 is: 725,289,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,368,924.75 : 472,156,263 = 472,156,263 : x
  2. Step 2: Convert to fraction form
    307,368,924.75/472,156,263 = 472,156,263/x
  3. Step 3: Cross multiply
    307,368,924.75x = 472,156,263 × 472,156,263
  4. Step 4: Simplify right side
    307,368,924.75x = 222,931,536,690,125,184
  5. Step 5: Solve for x
    x = 222,931,536,690,125,184/307,368,924.75
  6. Step 6: Final answer
    x = 725,289,769.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.