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Finding the Third Proportional to 134,087,020 and 205,029,225

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Solution

The third proportional to 134,087,020 and 205,029,225 is: 313,505,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,087,020 : 205,029,225 = 205,029,225 : x
  2. Step 2: Convert to fraction form
    134,087,020/205,029,225 = 205,029,225/x
  3. Step 3: Cross multiply
    134,087,020x = 205,029,225 × 205,029,225
  4. Step 4: Simplify right side
    134,087,020x = 42,036,983,104,100,624
  5. Step 5: Solve for x
    x = 42,036,983,104,100,624/134,087,020
  6. Step 6: Final answer
    x = 313,505,237.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.