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Finding the Third Proportional to 169,262,792 and 233,882,726.50

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Solution

The third proportional to 169,262,792 and 233,882,726.50 is: 323,172,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,262,792 : 233,882,726.50 = 233,882,726.50 : x
  2. Step 2: Convert to fraction form
    169,262,792/233,882,726.50 = 233,882,726.50/x
  3. Step 3: Cross multiply
    169,262,792x = 233,882,726.50 × 233,882,726.50
  4. Step 4: Simplify right side
    169,262,792x = 54,701,129,755,073,800
  5. Step 5: Solve for x
    x = 54,701,129,755,073,800/169,262,792
  6. Step 6: Final answer
    x = 323,172,796.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.