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Finding the Third Proportional to 51,385,420.50 and 121,264,371.50

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Solution

The third proportional to 51,385,420.50 and 121,264,371.50 is: 286,171,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385,420.50 : 121,264,371.50 = 121,264,371.50 : x
  2. Step 2: Convert to fraction form
    51,385,420.50/121,264,371.50 = 121,264,371.50/x
  3. Step 3: Cross multiply
    51,385,420.50x = 121,264,371.50 × 121,264,371.50
  4. Step 4: Simplify right side
    51,385,420.50x = 14,705,047,795,290,012
  5. Step 5: Solve for x
    x = 14,705,047,795,290,012/51,385,420.50
  6. Step 6: Final answer
    x = 286,171,595.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.