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Finding the Third Proportional to 129,532,966 and 185,233,564

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Solution

The third proportional to 129,532,966 and 185,233,564 is: 264,886,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,532,966 : 185,233,564 = 185,233,564 : x
  2. Step 2: Convert to fraction form
    129,532,966/185,233,564 = 185,233,564/x
  3. Step 3: Cross multiply
    129,532,966x = 185,233,564 × 185,233,564
  4. Step 4: Simplify right side
    129,532,966x = 34,311,473,232,142,096
  5. Step 5: Solve for x
    x = 34,311,473,232,142,096/129,532,966
  6. Step 6: Final answer
    x = 264,886,030.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.