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Finding the Third Proportional to 76,602,180 and 114,631,865

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Solution

The third proportional to 76,602,180 and 114,631,865 is: 171,541,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602,180 : 114,631,865 = 114,631,865 : x
  2. Step 2: Convert to fraction form
    76,602,180/114,631,865 = 114,631,865/x
  3. Step 3: Cross multiply
    76,602,180x = 114,631,865 × 114,631,865
  4. Step 4: Simplify right side
    76,602,180x = 13,140,464,473,378,224
  5. Step 5: Solve for x
    x = 13,140,464,473,378,224/76,602,180
  6. Step 6: Final answer
    x = 171,541,651.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.