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Finding the Third Proportional to 65,455,206.75 and 142,402,536

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Solution

The third proportional to 65,455,206.75 and 142,402,536 is: 309,807,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455,206.75 : 142,402,536 = 142,402,536 : x
  2. Step 2: Convert to fraction form
    65,455,206.75/142,402,536 = 142,402,536/x
  3. Step 3: Cross multiply
    65,455,206.75x = 142,402,536 × 142,402,536
  4. Step 4: Simplify right side
    65,455,206.75x = 20,278,482,259,231,296
  5. Step 5: Solve for x
    x = 20,278,482,259,231,296/65,455,206.75
  6. Step 6: Final answer
    x = 309,807,015.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.