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Finding the Third Proportional to 45,437,082.75 and 99,098,255.25

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Solution

The third proportional to 45,437,082.75 and 99,098,255.25 is: 216,133,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,082.75 : 99,098,255.25 = 99,098,255.25 : x
  2. Step 2: Convert to fraction form
    45,437,082.75/99,098,255.25 = 99,098,255.25/x
  3. Step 3: Cross multiply
    45,437,082.75x = 99,098,255.25 × 99,098,255.25
  4. Step 4: Simplify right side
    45,437,082.75x = 9,820,464,193,594,152
  5. Step 5: Solve for x
    x = 9,820,464,193,594,152/45,437,082.75
  6. Step 6: Final answer
    x = 216,133,246.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.