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Finding the Third Proportional to 212,165,582 and 456,977,404

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Solution

The third proportional to 212,165,582 and 456,977,404 is: 984,270,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,165,582 : 456,977,404 = 456,977,404 : x
  2. Step 2: Convert to fraction form
    212,165,582/456,977,404 = 456,977,404/x
  3. Step 3: Cross multiply
    212,165,582x = 456,977,404 × 456,977,404
  4. Step 4: Simplify right side
    212,165,582x = 208,828,347,766,579,200
  5. Step 5: Solve for x
    x = 208,828,347,766,579,200/212,165,582
  6. Step 6: Final answer
    x = 984,270,614.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.