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Finding the Third Proportional to 135,885,487.50 and 207,780,277.50

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Solution

The third proportional to 135,885,487.50 and 207,780,277.50 is: 317,713,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885,487.50 : 207,780,277.50 = 207,780,277.50 : x
  2. Step 2: Convert to fraction form
    135,885,487.50/207,780,277.50 = 207,780,277.50/x
  3. Step 3: Cross multiply
    135,885,487.50x = 207,780,277.50 × 207,780,277.50
  4. Step 4: Simplify right side
    135,885,487.50x = 43,172,643,717,977,008
  5. Step 5: Solve for x
    x = 43,172,643,717,977,008/135,885,487.50
  6. Step 6: Final answer
    x = 317,713,425.56

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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.