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Finding the Third Proportional to 201,064,755.75 and 433,886,938.50

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Solution

The third proportional to 201,064,755.75 and 433,886,938.50 is: 936,304,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064,755.75 : 433,886,938.50 = 433,886,938.50 : x
  2. Step 2: Convert to fraction form
    201,064,755.75/433,886,938.50 = 433,886,938.50/x
  3. Step 3: Cross multiply
    201,064,755.75x = 433,886,938.50 × 433,886,938.50
  4. Step 4: Simplify right side
    201,064,755.75x = 188,257,875,400,902,784
  5. Step 5: Solve for x
    x = 188,257,875,400,902,784/201,064,755.75
  6. Step 6: Final answer
    x = 936,304,697.95

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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.