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Finding the Third Proportional to 137,037,575.25 and 224,962,282.13

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Solution

The third proportional to 137,037,575.25 and 224,962,282.13 is: 369,300,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037,575.25 : 224,962,282.13 = 224,962,282.13 : x
  2. Step 2: Convert to fraction form
    137,037,575.25/224,962,282.13 = 224,962,282.13/x
  3. Step 3: Cross multiply
    137,037,575.25x = 224,962,282.13 × 224,962,282.13
  4. Step 4: Simplify right side
    137,037,575.25x = 50,608,028,378,888,096
  5. Step 5: Solve for x
    x = 50,608,028,378,888,096/137,037,575.25
  6. Step 6: Final answer
    x = 369,300,378.28

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.