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Finding the Third Proportional to 255,718,758.59 and 551,352,514.92

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Solution

The third proportional to 255,718,758.59 and 551,352,514.92 is: 1,188,765,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,718,758.59 : 551,352,514.92 = 551,352,514.92 : x
  2. Step 2: Convert to fraction form
    255,718,758.59/551,352,514.92 = 551,352,514.92/x
  3. Step 3: Cross multiply
    255,718,758.59x = 551,352,514.92 × 551,352,514.92
  4. Step 4: Simplify right side
    255,718,758.59x = 303,989,595,710,704,000
  5. Step 5: Solve for x
    x = 303,989,595,710,704,000/255,718,758.59
  6. Step 6: Final answer
    x = 1,188,765,334.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.