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Finding the Third Proportional to 464,133,266 and 696,199,983

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Solution

The third proportional to 464,133,266 and 696,199,983 is: 1,044,300,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,133,266 : 696,199,983 = 696,199,983 : x
  2. Step 2: Convert to fraction form
    464,133,266/696,199,983 = 696,199,983/x
  3. Step 3: Cross multiply
    464,133,266x = 696,199,983 × 696,199,983
  4. Step 4: Simplify right side
    464,133,266x = 484,694,416,329,200,320
  5. Step 5: Solve for x
    x = 484,694,416,329,200,320/464,133,266
  6. Step 6: Final answer
    x = 1,044,300,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.