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Finding the Third Proportional to 201,971,576 and 307,029,696

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Solution

The third proportional to 201,971,576 and 307,029,696 is: 466,735,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971,576 : 307,029,696 = 307,029,696 : x
  2. Step 2: Convert to fraction form
    201,971,576/307,029,696 = 307,029,696/x
  3. Step 3: Cross multiply
    201,971,576x = 307,029,696 × 307,029,696
  4. Step 4: Simplify right side
    201,971,576x = 94,267,234,225,852,416
  5. Step 5: Solve for x
    x = 94,267,234,225,852,416/201,971,576
  6. Step 6: Final answer
    x = 466,735,152.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.