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Finding the Third Proportional to 168,208,540.50 and 245,926,768.50

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Solution

The third proportional to 168,208,540.50 and 245,926,768.50 is: 359,553,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,208,540.50 : 245,926,768.50 = 245,926,768.50 : x
  2. Step 2: Convert to fraction form
    168,208,540.50/245,926,768.50 = 245,926,768.50/x
  3. Step 3: Cross multiply
    168,208,540.50x = 245,926,768.50 × 245,926,768.50
  4. Step 4: Simplify right side
    168,208,540.50x = 60,479,975,464,852,592
  5. Step 5: Solve for x
    x = 60,479,975,464,852,592/168,208,540.50
  6. Step 6: Final answer
    x = 359,553,535.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.