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Finding the Third Proportional to 84,912,941.25 and 185,197,536

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Solution

The third proportional to 84,912,941.25 and 185,197,536 is: 403,921,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,941.25 : 185,197,536 = 185,197,536 : x
  2. Step 2: Convert to fraction form
    84,912,941.25/185,197,536 = 185,197,536/x
  3. Step 3: Cross multiply
    84,912,941.25x = 185,197,536 × 185,197,536
  4. Step 4: Simplify right side
    84,912,941.25x = 34,298,127,340,471,296
  5. Step 5: Solve for x
    x = 34,298,127,340,471,296/84,912,941.25
  6. Step 6: Final answer
    x = 403,921,084.77

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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.