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Finding the Third Proportional to 220,835,624 and 464,516,650.50

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Solution

The third proportional to 220,835,624 and 464,516,650.50 is: 977,087,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,624 : 464,516,650.50 = 464,516,650.50 : x
  2. Step 2: Convert to fraction form
    220,835,624/464,516,650.50 = 464,516,650.50/x
  3. Step 3: Cross multiply
    220,835,624x = 464,516,650.50 × 464,516,650.50
  4. Step 4: Simplify right side
    220,835,624x = 215,775,718,591,739,136
  5. Step 5: Solve for x
    x = 215,775,718,591,739,136/220,835,624
  6. Step 6: Final answer
    x = 977,087,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.