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Finding the Third Proportional to 114,848,685 and 176,530,659

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Solution

The third proportional to 114,848,685 and 176,530,659 is: 271,340,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,685 : 176,530,659 = 176,530,659 : x
  2. Step 2: Convert to fraction form
    114,848,685/176,530,659 = 176,530,659/x
  3. Step 3: Cross multiply
    114,848,685x = 176,530,659 × 176,530,659
  4. Step 4: Simplify right side
    114,848,685x = 31,163,073,566,974,280
  5. Step 5: Solve for x
    x = 31,163,073,566,974,280/114,848,685
  6. Step 6: Final answer
    x = 271,340,273.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.