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Finding the Third Proportional to 209,189,730 and 456,045,382.50

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Solution

The third proportional to 209,189,730 and 456,045,382.50 is: 994,204,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,730 : 456,045,382.50 = 456,045,382.50 : x
  2. Step 2: Convert to fraction form
    209,189,730/456,045,382.50 = 456,045,382.50/x
  3. Step 3: Cross multiply
    209,189,730x = 456,045,382.50 × 456,045,382.50
  4. Step 4: Simplify right side
    209,189,730x = 207,977,390,899,571,296
  5. Step 5: Solve for x
    x = 207,977,390,899,571,296/209,189,730
  6. Step 6: Final answer
    x = 994,204,595.51

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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.