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Finding the Third Proportional to 94,351,995 and 201,819,748.50

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Solution

The third proportional to 94,351,995 and 201,819,748.50 is: 431,694,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,351,995 : 201,819,748.50 = 201,819,748.50 : x
  2. Step 2: Convert to fraction form
    94,351,995/201,819,748.50 = 201,819,748.50/x
  3. Step 3: Cross multiply
    94,351,995x = 201,819,748.50 × 201,819,748.50
  4. Step 4: Simplify right side
    94,351,995x = 40,731,210,884,603,256
  5. Step 5: Solve for x
    x = 40,731,210,884,603,256/94,351,995
  6. Step 6: Final answer
    x = 431,694,219.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.