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Finding the Third Proportional to 201,172,305 and 307,532,461.50

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Solution

The third proportional to 201,172,305 and 307,532,461.50 is: 470,125,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172,305 : 307,532,461.50 = 307,532,461.50 : x
  2. Step 2: Convert to fraction form
    201,172,305/307,532,461.50 = 307,532,461.50/x
  3. Step 3: Cross multiply
    201,172,305x = 307,532,461.50 × 307,532,461.50
  4. Step 4: Simplify right side
    201,172,305x = 94,576,214,876,248,976
  5. Step 5: Solve for x
    x = 94,576,214,876,248,976/201,172,305
  6. Step 6: Final answer
    x = 470,125,422.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.