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Finding the Third Proportional to 99,011,980.13 and 215,062,998.75

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Solution

The third proportional to 99,011,980.13 and 215,062,998.75 is: 467,136,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,011,980.13 : 215,062,998.75 = 215,062,998.75 : x
  2. Step 2: Convert to fraction form
    99,011,980.13/215,062,998.75 = 215,062,998.75/x
  3. Step 3: Cross multiply
    99,011,980.13x = 215,062,998.75 × 215,062,998.75
  4. Step 4: Simplify right side
    99,011,980.13x = 46,252,093,431,342,504
  5. Step 5: Solve for x
    x = 46,252,093,431,342,504/99,011,980.13
  6. Step 6: Final answer
    x = 467,136,334.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.