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Finding the Third Proportional to 136,438,668 and 209,927,754

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Solution

The third proportional to 136,438,668 and 209,927,754 is: 322,999,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438,668 : 209,927,754 = 209,927,754 : x
  2. Step 2: Convert to fraction form
    136,438,668/209,927,754 = 209,927,754/x
  3. Step 3: Cross multiply
    136,438,668x = 209,927,754 × 209,927,754
  4. Step 4: Simplify right side
    136,438,668x = 44,069,661,899,484,512
  5. Step 5: Solve for x
    x = 44,069,661,899,484,512/136,438,668
  6. Step 6: Final answer
    x = 322,999,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.