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Finding the Third Proportional to 204,928,303.50 and 299,706,720

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Solution

The third proportional to 204,928,303.50 and 299,706,720 is: 438,319,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,928,303.50 : 299,706,720 = 299,706,720 : x
  2. Step 2: Convert to fraction form
    204,928,303.50/299,706,720 = 299,706,720/x
  3. Step 3: Cross multiply
    204,928,303.50x = 299,706,720 × 299,706,720
  4. Step 4: Simplify right side
    204,928,303.50x = 89,824,118,013,158,400
  5. Step 5: Solve for x
    x = 89,824,118,013,158,400/204,928,303.50
  6. Step 6: Final answer
    x = 438,319,726.85

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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.