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Finding the Third Proportional to 129,486,795.75 and 270,944,743.50

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Solution

The third proportional to 129,486,795.75 and 270,944,743.50 is: 566,938,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,486,795.75 : 270,944,743.50 = 270,944,743.50 : x
  2. Step 2: Convert to fraction form
    129,486,795.75/270,944,743.50 = 270,944,743.50/x
  3. Step 3: Cross multiply
    129,486,795.75x = 270,944,743.50 × 270,944,743.50
  4. Step 4: Simplify right side
    129,486,795.75x = 73,411,054,030,280,800
  5. Step 5: Solve for x
    x = 73,411,054,030,280,800/129,486,795.75
  6. Step 6: Final answer
    x = 566,938,533.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.