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Finding the Third Proportional to 116,304,195 and 180,064,485

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Solution

The third proportional to 116,304,195 and 180,064,485 is: 278,779,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,304,195 : 180,064,485 = 180,064,485 : x
  2. Step 2: Convert to fraction form
    116,304,195/180,064,485 = 180,064,485/x
  3. Step 3: Cross multiply
    116,304,195x = 180,064,485 × 180,064,485
  4. Step 4: Simplify right side
    116,304,195x = 32,423,218,758,315,224
  5. Step 5: Solve for x
    x = 32,423,218,758,315,224/116,304,195
  6. Step 6: Final answer
    x = 278,779,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.