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Finding the Third Proportional to 137,810,797.50 and 300,657,709.50

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Solution

The third proportional to 137,810,797.50 and 300,657,709.50 is: 655,935,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810,797.50 : 300,657,709.50 = 300,657,709.50 : x
  2. Step 2: Convert to fraction form
    137,810,797.50/300,657,709.50 = 300,657,709.50/x
  3. Step 3: Cross multiply
    137,810,797.50x = 300,657,709.50 × 300,657,709.50
  4. Step 4: Simplify right side
    137,810,797.50x = 90,395,058,281,786,384
  5. Step 5: Solve for x
    x = 90,395,058,281,786,384/137,810,797.50
  6. Step 6: Final answer
    x = 655,935,963.81

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