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Finding the Third Proportional to 137,395,420.50 and 296,313,594

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Solution

The third proportional to 137,395,420.50 and 296,313,594 is: 639,044,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,420.50 : 296,313,594 = 296,313,594 : x
  2. Step 2: Convert to fraction form
    137,395,420.50/296,313,594 = 296,313,594/x
  3. Step 3: Cross multiply
    137,395,420.50x = 296,313,594 × 296,313,594
  4. Step 4: Simplify right side
    137,395,420.50x = 87,801,745,989,196,832
  5. Step 5: Solve for x
    x = 87,801,745,989,196,832/137,395,420.50
  6. Step 6: Final answer
    x = 639,044,195.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.