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Finding the Third Proportional to 209,189,752.50 and 456,045,436.50

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Solution

The third proportional to 209,189,752.50 and 456,045,436.50 is: 994,204,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,752.50 : 456,045,436.50 = 456,045,436.50 : x
  2. Step 2: Convert to fraction form
    209,189,752.50/456,045,436.50 = 456,045,436.50/x
  3. Step 3: Cross multiply
    209,189,752.50x = 456,045,436.50 × 456,045,436.50
  4. Step 4: Simplify right side
    209,189,752.50x = 207,977,440,152,475,520
  5. Step 5: Solve for x
    x = 207,977,440,152,475,520/209,189,752.50
  6. Step 6: Final answer
    x = 994,204,724.02

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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.