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Finding the Third Proportional to 76,602,174 and 114,631,857

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Solution

The third proportional to 76,602,174 and 114,631,857 is: 171,541,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602,174 : 114,631,857 = 114,631,857 : x
  2. Step 2: Convert to fraction form
    76,602,174/114,631,857 = 114,631,857/x
  3. Step 3: Cross multiply
    76,602,174x = 114,631,857 × 114,631,857
  4. Step 4: Simplify right side
    76,602,174x = 13,140,462,639,268,448
  5. Step 5: Solve for x
    x = 13,140,462,639,268,448/76,602,174
  6. Step 6: Final answer
    x = 171,541,641.09

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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.