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Finding the Third Proportional to 166,751,820 and 362,209,366.13

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Solution

The third proportional to 166,751,820 and 362,209,366.13 is: 786,771,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,751,820 : 362,209,366.13 = 362,209,366.13 : x
  2. Step 2: Convert to fraction form
    166,751,820/362,209,366.13 = 362,209,366.13/x
  3. Step 3: Cross multiply
    166,751,820x = 362,209,366.13 × 362,209,366.13
  4. Step 4: Simplify right side
    166,751,820x = 131,195,624,908,674,304
  5. Step 5: Solve for x
    x = 131,195,624,908,674,304/166,751,820
  6. Step 6: Final answer
    x = 786,771,772.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.