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Finding the Third Proportional to 242,782,150.50 and 360,423,067.50

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Solution

The third proportional to 242,782,150.50 and 360,423,067.50 is: 535,067,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,782,150.50 : 360,423,067.50 = 360,423,067.50 : x
  2. Step 2: Convert to fraction form
    242,782,150.50/360,423,067.50 = 360,423,067.50/x
  3. Step 3: Cross multiply
    242,782,150.50x = 360,423,067.50 × 360,423,067.50
  4. Step 4: Simplify right side
    242,782,150.50x = 129,904,787,586,109,552
  5. Step 5: Solve for x
    x = 129,904,787,586,109,552/242,782,150.50
  6. Step 6: Final answer
    x = 535,067,291.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.