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Finding the Third Proportional to 137,056,267.50 and 299,227,786.50

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Solution

The third proportional to 137,056,267.50 and 299,227,786.50 is: 653,288,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056,267.50 : 299,227,786.50 = 299,227,786.50 : x
  2. Step 2: Convert to fraction form
    137,056,267.50/299,227,786.50 = 299,227,786.50/x
  3. Step 3: Cross multiply
    137,056,267.50x = 299,227,786.50 × 299,227,786.50
  4. Step 4: Simplify right side
    137,056,267.50x = 89,537,268,213,689,584
  5. Step 5: Solve for x
    x = 89,537,268,213,689,584/137,056,267.50
  6. Step 6: Final answer
    x = 653,288,389.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.