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Finding the Third Proportional to 264,521,101.50 and 369,976,891.50

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Solution

The third proportional to 264,521,101.50 and 369,976,891.50 is: 517,474,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,521,101.50 : 369,976,891.50 = 369,976,891.50 : x
  2. Step 2: Convert to fraction form
    264,521,101.50/369,976,891.50 = 369,976,891.50/x
  3. Step 3: Cross multiply
    264,521,101.50x = 369,976,891.50 × 369,976,891.50
  4. Step 4: Simplify right side
    264,521,101.50x = 136,882,900,244,002,768
  5. Step 5: Solve for x
    x = 136,882,900,244,002,768/264,521,101.50
  6. Step 6: Final answer
    x = 517,474,407.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.