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Finding the Third Proportional to 201,081,652.50 and 433,906,483.50

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Solution

The third proportional to 201,081,652.50 and 433,906,483.50 is: 936,310,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,081,652.50 : 433,906,483.50 = 433,906,483.50 : x
  2. Step 2: Convert to fraction form
    201,081,652.50/433,906,483.50 = 433,906,483.50/x
  3. Step 3: Cross multiply
    201,081,652.50x = 433,906,483.50 × 433,906,483.50
  4. Step 4: Simplify right side
    201,081,652.50x = 188,274,836,423,335,776
  5. Step 5: Solve for x
    x = 188,274,836,423,335,776/201,081,652.50
  6. Step 6: Final answer
    x = 936,310,369.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.