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Finding the Third Proportional to 117,966,270 and 176,949,432

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Solution

The third proportional to 117,966,270 and 176,949,432 is: 265,424,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,966,270 : 176,949,432 = 176,949,432 : x
  2. Step 2: Convert to fraction form
    117,966,270/176,949,432 = 176,949,432/x
  3. Step 3: Cross multiply
    117,966,270x = 176,949,432 × 176,949,432
  4. Step 4: Simplify right side
    117,966,270x = 31,311,101,485,122,624
  5. Step 5: Solve for x
    x = 31,311,101,485,122,624/117,966,270
  6. Step 6: Final answer
    x = 265,424,188.50

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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.