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Finding the Third Proportional to 201,172,310 and 307,532,468

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Solution

The third proportional to 201,172,310 and 307,532,468 is: 470,125,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172,310 : 307,532,468 = 307,532,468 : x
  2. Step 2: Convert to fraction form
    201,172,310/307,532,468 = 307,532,468/x
  3. Step 3: Cross multiply
    201,172,310x = 307,532,468 × 307,532,468
  4. Step 4: Simplify right side
    201,172,310x = 94,576,218,874,171,024
  5. Step 5: Solve for x
    x = 94,576,218,874,171,024/201,172,310
  6. Step 6: Final answer
    x = 470,125,430.65

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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.