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Finding the Third Proportional to 169,250,872.81 and 368,548,763.48

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Solution

The third proportional to 169,250,872.81 and 368,548,763.48 is: 802,525,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,250,872.81 : 368,548,763.48 = 368,548,763.48 : x
  2. Step 2: Convert to fraction form
    169,250,872.81/368,548,763.48 = 368,548,763.48/x
  3. Step 3: Cross multiply
    169,250,872.81x = 368,548,763.48 × 368,548,763.48
  4. Step 4: Simplify right side
    169,250,872.81x = 135,828,191,065,865,472
  5. Step 5: Solve for x
    x = 135,828,191,065,865,472/169,250,872.81
  6. Step 6: Final answer
    x = 802,525,793.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.