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Finding the Third Proportional to 81,202,348 and 116,716,290

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Solution

The third proportional to 81,202,348 and 116,716,290 is: 167,762,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202,348 : 116,716,290 = 116,716,290 : x
  2. Step 2: Convert to fraction form
    81,202,348/116,716,290 = 116,716,290/x
  3. Step 3: Cross multiply
    81,202,348x = 116,716,290 × 116,716,290
  4. Step 4: Simplify right side
    81,202,348x = 13,622,692,351,364,100
  5. Step 5: Solve for x
    x = 13,622,692,351,364,100/81,202,348
  6. Step 6: Final answer
    x = 167,762,296.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.