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Finding the Third Proportional to 127,506,468.75 and 270,335,672.25

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Solution

The third proportional to 127,506,468.75 and 270,335,672.25 is: 573,158,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,506,468.75 : 270,335,672.25 = 270,335,672.25 : x
  2. Step 2: Convert to fraction form
    127,506,468.75/270,335,672.25 = 270,335,672.25/x
  3. Step 3: Cross multiply
    127,506,468.75x = 270,335,672.25 × 270,335,672.25
  4. Step 4: Simplify right side
    127,506,468.75x = 73,081,375,690,859,424
  5. Step 5: Solve for x
    x = 73,081,375,690,859,424/127,506,468.75
  6. Step 6: Final answer
    x = 573,158,180.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.